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  1. Boundary Value Problems Essential Fractional Dynamic Equations on Time Scales

    This book explores boundary value problems for Riemann-Liouville fractional dynamic equations on arbitrary time scales as well as the shifting...

    Book 2024
  2. Boundary-Value Problem for Singularly Perturbed Integro-Differential Equation with Singularly Perturbed Neumann Boundary Condition

    Abstract

    We consider a boundary-value problem for singularly perturbed integro-differential equation describing stationary reaction–diffusion...

    N. N. Nefedov, A. G. Nikitin, E. I. Nikulin in Russian Journal of Mathematical Physics
    Article 05 September 2023
  3. Boundary-Value Problem for Nonuniformly Elliptic Equations with Power Singularities

    By using a priori estimates and the Riesz theorem, we investigate a boundary-value problem for nonuniformly 2 b -elliptic equations with arbitrary...

    I. P. Luste, I. D. Pukal’s’kyi in Journal of Mathematical Sciences
    Article 05 February 2024
  4. On a Boundary Value Problem for a Pseudohyperbolic Equation

    Abstract

    In the present article, we consider a mixed boundary value problem in a quarter-space for a pseudohyperbolic equation. We find conditions on...

    Article 01 August 2023
  5. On the Caputo fractional random boundary value problem

    In this paper, we aim to prove the existence and uniqueness of the mean square solution to the Caputo fractional random boundary value problem by...

    Article 02 November 2023
  6. A periodic boundary value problem with switchings under nonlinear perturbations

    We investigate the existence of solutions of weakly nonlinear periodic boundary value problems for systems of ordinary differential equations with...

    Peter Benner, Sergey Chuiko, Alexander Zuyev in Boundary Value Problems
    Article Open access 27 April 2023
  7. On a Discrete Boundary Value Problem in a Quarter-Plane

    Abstract

    We study a special discrete boundary value problem for a digital elliptic pseudo-differential operator in a discrete quadrant. Using a...

    E. B. Afanasieva, A. A. Khodyreva, V. B. Vasilyev in Lobachevskii Journal of Mathematics
    Article 01 August 2023
  8. Multipoint Boundary-Value Problem of Optimal Control for Parabolic Equations with Degeneration

    We study the problem of optimal control over the process described by a multipoint problem with oblique derivative for a second-order parabolic...

    І. D. Pukal’s’kyi, B. О. Yashan in Journal of Mathematical Sciences
    Article 14 July 2023
  9. Fixed Point Methods for Solving Boundary Value Problem of the Maximum Principle

    In the class of linear optimal control problems, a new approach to finding a solution to the boundary value problem of the maximum principle is...

    Alexander Buldaev, Ivan Kazmin in Journal of Mathematical Sciences
    Article 28 March 2024
  10. Robin Boundary-Value Problem for the Beltrami Equation

    We study the unique solution of the Robin boundary-value problem for the Beltrami equation with constant coefficients in a unit disc by using a...

    İ. Gençtürk in Ukrainian Mathematical Journal
    Article 01 September 2023
  11. Hardy spaces of meta-analytic functions and the Schwarz boundary value problem

    We extend representation formulas that generalize the similarity principle of solutions to the Vekua equation to certain classes of meta-analytic...

    Article 12 June 2024
  12. Numerical Solution of the Boundary Value Problem for Internal Inertia-Gravity Waves

    Abstract

    The initial and boundary value problem for the equations of free internal inertia-gravity waves in an unconfined basin of constant depth is...

    D. I. Vorotnikov, A. M. Savchenko in Fluid Dynamics
    Article 01 February 2024
  13. Boundary-Value Problem with Pulsed Action. Critical Case of the Second Order

    A weakly nonlinear impulsive boundary-value problem is considered in the critical case of the second order. We obtain sufficient conditions of...

    Zoya Ordynska, Raisa Ovchar in Journal of Mathematical Sciences
    Article 01 February 2024
  14. Existence of a Solution to Lamb’s Initial-Boundary Value Problem with a Limiting Value of Poisson’s Ratio

    Abstract

    The paper considers a Lamb’s initial-boundary value problem for an elastic half-space in the case when Poisson’s ratio takes the limiting...

    Article 01 October 2023
  15. Boundary Value Problem for an Odd Order Equation with Multiple Characteristics

    We prove the unique solvability of the nonlinear boundary value problem for an odd order nonlinear equation with multiple characteristics in a...

    Odilzhan Kurbanov, Sirojiddin Z. Dzhamalov, Sergey Pyatkov in Journal of Mathematical Sciences
    Article 16 August 2023
  16. Linear Boundary-Value Problems for Systems of Integrodifferential Equations with Degenerate Kernel. Resonance Case for a Weakly Perturbed Boundary-Value problem

    We consider a noncritical case for linear boundary-value problems posed for systems of integrodifferential equations. We establish the existence...

    Article 01 August 2023
  17. On the Well-Posedness of an Initial–Boundary Value Problem for a Degenerate Heat Equation

    Abstract

    The well-posedness of an initial–boundary value problem for a model parabolic equation with two power-law degeneration lines is studied....

    A. R. Zainullov, K. B. Sabitov in Mathematical Notes
    Article 01 February 2024
  18. Periodic Boundary-Value Problem for a Rayleigh-Type Equation Unsolved with Respect to the Derivative

    We establish constructive necessary and sufficient conditions of solvability and propose a scheme for the construction of solutions to a...

    Serhii Chuiko, Olha Nesmelova in Ukrainian Mathematical Journal
    Article 01 March 2024
  19. Boundary Value Problem of Calculating Ray Characteristics of Ocean Waves Reflected from Coastline

    Abstract

    A direct variational method for solving the problem of finding ocean wave rays reflected from the coastline with given positions of the...

    I. A. Nosikov, A. A. Tolchennikov, M. V. Klimenko in Computational Mathematics and Mathematical Physics
    Article 01 March 2024
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