Modern Methods in Mathematical Physics and their Applications
Modern Methods in Mathematical Physics and their Applications
Dedicated to the 80th Anniversary of Shavkat Alimov
Karimov, Erkinjon; Ashurov, Ravshan
Springer Nature Switzerland AG
04/2026
320
Dura
Inglês
9783032138712
Pré-lançamento - envio 15 a 20 dias após a sua edição
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Part I. Algebra and Analysis.- Chapter 1. Local and 2-local anti-derivations on the perfect Lie algebras Lm.- Chapter 2. Estimates for convolution operators related to sufficiently smooth
surfaces.- Chapter 3. About asymptotic Critical Reduced Processes with Infinite Variance.- Chapter 4. Equivalence of Paths with Respect to the Action of the Group SO (1)2` + 1;R?.- Chapter 5. On the summability of the Fourier Laplace series of the distributions.- Chapter 6. Mixed Hessians in the class of m-convex functions.- Chapter 7. Invariants of pairs of anti-commuting matrices under simultaneous conjugation.- Part II. Differential Equations.- Chapter 8. On solutions of the Weyl fractional differential equation in Gevrey classes.- Chapter 9. Well-Posedness of the NBVP for Elliptic Equations.- Chapter 10. A nonlocal problem for hyperbolic systems with impulsive discrete memory: method and solution.- Chapter 11. Inverse Coefficient Problems for Mixed Parabolic-Hyperbolic equations.- Chapter 12. Study of mixed-type partial differential equations with Gerasimov-Caputo fractional derivatives: Forward and Inverse Problems.- Chapter 13. On a coefficient inverse problem for the three-dimensional Tricomi equation in a parallelepiped.- Chapter 14. Applications of Appell and Lauricella functions to solving the boundary value problems for the degenerate elliptic equation.- Chapter 15. Inverse Problem For A System Of Mixed-Type Second-Order Differential Equations.- Chapter 16. The direct and inverse problems for the fractional equation with the Hilfer derivative.- Chapter 17. Pseudo-differential equations in a plane with an angular cut.- Chapter 18. Forward and Inverse problem for the Langevin-type fractional equation.- Chapter 19. Samarskii - Ionkin type problem for a degenerate elliptic equation with a singular coefficient.- Chapter 20. Some boundary value problems for the triharmonic equation in a ball.- Chapter 21. Linear Inverse Coefficient Problems for Degenerate Elliptic Equations.- Chapter 22. Bitsadze-Samarskii problem for a mixed-type equation.- Chapter 23. On systems of fractional nonlinear partial differential equations.- Chapter 24. Nonlocal problem with parameters for a Caputo fractional-order equation.- Chapter 25. Nonlocal approach to Protter-Morawetz BVP for the 3-D Tricomi equation.- Chapter 26. Order Determination Inverse Problem for Fractional Diffusion-Wave Equation.- Chapter 27. Nonlocal problems for a degenerate equation and an equation of mixed type.- Chapter 28. Existence and uniqueness of a time-dependent coefficient and source problem for fractional telegraph equation.- Chapter 29. The time-independent source identification problem for the subdiffusion equation with the integral over-determination condition.- Chapter 30. Boundary value problem for space-time fractional diffusion equation on metric graphs.- Chapter 31. Nonlocal Riemann Problem.- Chapter 32. Fractional parabolic systems of vector order with Riemann-Liouville fractional derivative.- Chapter 33. Classical and weak solutions to the mixed problem for the time-fractional space degenerate partial differential equation.- Chapter 34. Mixed problems with integral conditions for a loaded pseudoparabolic equation of the third order.- Part III. Mathematical Modeling and Computational Mathematics.- Chapter 35. Investigation of dynamic modes of the FitzHugh-Nagumo oscillator with variable memory and external stimulus function.- Chapter 36. On the Time-Optimal Problem for a Heat Equation.- Chapter 37. Fractional Calculus for Design of Rock Tunnels.- Chapter 38. On some inverse problems of recovering the heat flux and the heat transfer coefficient from integral data.- Chapter 39. SDEs driven by CTRW-limit processes and associated FPK equations.
surfaces.- Chapter 3. About asymptotic Critical Reduced Processes with Infinite Variance.- Chapter 4. Equivalence of Paths with Respect to the Action of the Group SO (1)2` + 1;R?.- Chapter 5. On the summability of the Fourier Laplace series of the distributions.- Chapter 6. Mixed Hessians in the class of m-convex functions.- Chapter 7. Invariants of pairs of anti-commuting matrices under simultaneous conjugation.- Part II. Differential Equations.- Chapter 8. On solutions of the Weyl fractional differential equation in Gevrey classes.- Chapter 9. Well-Posedness of the NBVP for Elliptic Equations.- Chapter 10. A nonlocal problem for hyperbolic systems with impulsive discrete memory: method and solution.- Chapter 11. Inverse Coefficient Problems for Mixed Parabolic-Hyperbolic equations.- Chapter 12. Study of mixed-type partial differential equations with Gerasimov-Caputo fractional derivatives: Forward and Inverse Problems.- Chapter 13. On a coefficient inverse problem for the three-dimensional Tricomi equation in a parallelepiped.- Chapter 14. Applications of Appell and Lauricella functions to solving the boundary value problems for the degenerate elliptic equation.- Chapter 15. Inverse Problem For A System Of Mixed-Type Second-Order Differential Equations.- Chapter 16. The direct and inverse problems for the fractional equation with the Hilfer derivative.- Chapter 17. Pseudo-differential equations in a plane with an angular cut.- Chapter 18. Forward and Inverse problem for the Langevin-type fractional equation.- Chapter 19. Samarskii - Ionkin type problem for a degenerate elliptic equation with a singular coefficient.- Chapter 20. Some boundary value problems for the triharmonic equation in a ball.- Chapter 21. Linear Inverse Coefficient Problems for Degenerate Elliptic Equations.- Chapter 22. Bitsadze-Samarskii problem for a mixed-type equation.- Chapter 23. On systems of fractional nonlinear partial differential equations.- Chapter 24. Nonlocal problem with parameters for a Caputo fractional-order equation.- Chapter 25. Nonlocal approach to Protter-Morawetz BVP for the 3-D Tricomi equation.- Chapter 26. Order Determination Inverse Problem for Fractional Diffusion-Wave Equation.- Chapter 27. Nonlocal problems for a degenerate equation and an equation of mixed type.- Chapter 28. Existence and uniqueness of a time-dependent coefficient and source problem for fractional telegraph equation.- Chapter 29. The time-independent source identification problem for the subdiffusion equation with the integral over-determination condition.- Chapter 30. Boundary value problem for space-time fractional diffusion equation on metric graphs.- Chapter 31. Nonlocal Riemann Problem.- Chapter 32. Fractional parabolic systems of vector order with Riemann-Liouville fractional derivative.- Chapter 33. Classical and weak solutions to the mixed problem for the time-fractional space degenerate partial differential equation.- Chapter 34. Mixed problems with integral conditions for a loaded pseudoparabolic equation of the third order.- Part III. Mathematical Modeling and Computational Mathematics.- Chapter 35. Investigation of dynamic modes of the FitzHugh-Nagumo oscillator with variable memory and external stimulus function.- Chapter 36. On the Time-Optimal Problem for a Heat Equation.- Chapter 37. Fractional Calculus for Design of Rock Tunnels.- Chapter 38. On some inverse problems of recovering the heat flux and the heat transfer coefficient from integral data.- Chapter 39. SDEs driven by CTRW-limit processes and associated FPK equations.
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Analysis;Mathematical Physics;Partial Differential Equations;Algebra and Number Theory;Mathematical Modeling;Computational Mathematics
Part I. Algebra and Analysis.- Chapter 1. Local and 2-local anti-derivations on the perfect Lie algebras Lm.- Chapter 2. Estimates for convolution operators related to sufficiently smooth
surfaces.- Chapter 3. About asymptotic Critical Reduced Processes with Infinite Variance.- Chapter 4. Equivalence of Paths with Respect to the Action of the Group SO (1)2` + 1;R?.- Chapter 5. On the summability of the Fourier Laplace series of the distributions.- Chapter 6. Mixed Hessians in the class of m-convex functions.- Chapter 7. Invariants of pairs of anti-commuting matrices under simultaneous conjugation.- Part II. Differential Equations.- Chapter 8. On solutions of the Weyl fractional differential equation in Gevrey classes.- Chapter 9. Well-Posedness of the NBVP for Elliptic Equations.- Chapter 10. A nonlocal problem for hyperbolic systems with impulsive discrete memory: method and solution.- Chapter 11. Inverse Coefficient Problems for Mixed Parabolic-Hyperbolic equations.- Chapter 12. Study of mixed-type partial differential equations with Gerasimov-Caputo fractional derivatives: Forward and Inverse Problems.- Chapter 13. On a coefficient inverse problem for the three-dimensional Tricomi equation in a parallelepiped.- Chapter 14. Applications of Appell and Lauricella functions to solving the boundary value problems for the degenerate elliptic equation.- Chapter 15. Inverse Problem For A System Of Mixed-Type Second-Order Differential Equations.- Chapter 16. The direct and inverse problems for the fractional equation with the Hilfer derivative.- Chapter 17. Pseudo-differential equations in a plane with an angular cut.- Chapter 18. Forward and Inverse problem for the Langevin-type fractional equation.- Chapter 19. Samarskii - Ionkin type problem for a degenerate elliptic equation with a singular coefficient.- Chapter 20. Some boundary value problems for the triharmonic equation in a ball.- Chapter 21. Linear Inverse Coefficient Problems for Degenerate Elliptic Equations.- Chapter 22. Bitsadze-Samarskii problem for a mixed-type equation.- Chapter 23. On systems of fractional nonlinear partial differential equations.- Chapter 24. Nonlocal problem with parameters for a Caputo fractional-order equation.- Chapter 25. Nonlocal approach to Protter-Morawetz BVP for the 3-D Tricomi equation.- Chapter 26. Order Determination Inverse Problem for Fractional Diffusion-Wave Equation.- Chapter 27. Nonlocal problems for a degenerate equation and an equation of mixed type.- Chapter 28. Existence and uniqueness of a time-dependent coefficient and source problem for fractional telegraph equation.- Chapter 29. The time-independent source identification problem for the subdiffusion equation with the integral over-determination condition.- Chapter 30. Boundary value problem for space-time fractional diffusion equation on metric graphs.- Chapter 31. Nonlocal Riemann Problem.- Chapter 32. Fractional parabolic systems of vector order with Riemann-Liouville fractional derivative.- Chapter 33. Classical and weak solutions to the mixed problem for the time-fractional space degenerate partial differential equation.- Chapter 34. Mixed problems with integral conditions for a loaded pseudoparabolic equation of the third order.- Part III. Mathematical Modeling and Computational Mathematics.- Chapter 35. Investigation of dynamic modes of the FitzHugh-Nagumo oscillator with variable memory and external stimulus function.- Chapter 36. On the Time-Optimal Problem for a Heat Equation.- Chapter 37. Fractional Calculus for Design of Rock Tunnels.- Chapter 38. On some inverse problems of recovering the heat flux and the heat transfer coefficient from integral data.- Chapter 39. SDEs driven by CTRW-limit processes and associated FPK equations.
surfaces.- Chapter 3. About asymptotic Critical Reduced Processes with Infinite Variance.- Chapter 4. Equivalence of Paths with Respect to the Action of the Group SO (1)2` + 1;R?.- Chapter 5. On the summability of the Fourier Laplace series of the distributions.- Chapter 6. Mixed Hessians in the class of m-convex functions.- Chapter 7. Invariants of pairs of anti-commuting matrices under simultaneous conjugation.- Part II. Differential Equations.- Chapter 8. On solutions of the Weyl fractional differential equation in Gevrey classes.- Chapter 9. Well-Posedness of the NBVP for Elliptic Equations.- Chapter 10. A nonlocal problem for hyperbolic systems with impulsive discrete memory: method and solution.- Chapter 11. Inverse Coefficient Problems for Mixed Parabolic-Hyperbolic equations.- Chapter 12. Study of mixed-type partial differential equations with Gerasimov-Caputo fractional derivatives: Forward and Inverse Problems.- Chapter 13. On a coefficient inverse problem for the three-dimensional Tricomi equation in a parallelepiped.- Chapter 14. Applications of Appell and Lauricella functions to solving the boundary value problems for the degenerate elliptic equation.- Chapter 15. Inverse Problem For A System Of Mixed-Type Second-Order Differential Equations.- Chapter 16. The direct and inverse problems for the fractional equation with the Hilfer derivative.- Chapter 17. Pseudo-differential equations in a plane with an angular cut.- Chapter 18. Forward and Inverse problem for the Langevin-type fractional equation.- Chapter 19. Samarskii - Ionkin type problem for a degenerate elliptic equation with a singular coefficient.- Chapter 20. Some boundary value problems for the triharmonic equation in a ball.- Chapter 21. Linear Inverse Coefficient Problems for Degenerate Elliptic Equations.- Chapter 22. Bitsadze-Samarskii problem for a mixed-type equation.- Chapter 23. On systems of fractional nonlinear partial differential equations.- Chapter 24. Nonlocal problem with parameters for a Caputo fractional-order equation.- Chapter 25. Nonlocal approach to Protter-Morawetz BVP for the 3-D Tricomi equation.- Chapter 26. Order Determination Inverse Problem for Fractional Diffusion-Wave Equation.- Chapter 27. Nonlocal problems for a degenerate equation and an equation of mixed type.- Chapter 28. Existence and uniqueness of a time-dependent coefficient and source problem for fractional telegraph equation.- Chapter 29. The time-independent source identification problem for the subdiffusion equation with the integral over-determination condition.- Chapter 30. Boundary value problem for space-time fractional diffusion equation on metric graphs.- Chapter 31. Nonlocal Riemann Problem.- Chapter 32. Fractional parabolic systems of vector order with Riemann-Liouville fractional derivative.- Chapter 33. Classical and weak solutions to the mixed problem for the time-fractional space degenerate partial differential equation.- Chapter 34. Mixed problems with integral conditions for a loaded pseudoparabolic equation of the third order.- Part III. Mathematical Modeling and Computational Mathematics.- Chapter 35. Investigation of dynamic modes of the FitzHugh-Nagumo oscillator with variable memory and external stimulus function.- Chapter 36. On the Time-Optimal Problem for a Heat Equation.- Chapter 37. Fractional Calculus for Design of Rock Tunnels.- Chapter 38. On some inverse problems of recovering the heat flux and the heat transfer coefficient from integral data.- Chapter 39. SDEs driven by CTRW-limit processes and associated FPK equations.
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