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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...
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Boundary-Value Problem for Singularly Perturbed Integro-Differential Equation with Singularly Perturbed Neumann Boundary Condition
AbstractWe consider a boundary-value problem for singularly perturbed integro-differential equation describing stationary reaction–diffusion...
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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...
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On a Boundary Value Problem for a Pseudohyperbolic Equation
AbstractIn the present article, we consider a mixed boundary value problem in a quarter-space for a pseudohyperbolic equation. We find conditions on...
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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...
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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...
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On a Discrete Boundary Value Problem in a Quarter-Plane
AbstractWe study a special discrete boundary value problem for a digital elliptic pseudo-differential operator in a discrete quadrant. Using a...
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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...
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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...
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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...
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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...
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Numerical Solution of the Boundary Value Problem for Internal Inertia-Gravity Waves
AbstractThe initial and boundary value problem for the equations of free internal inertia-gravity waves in an unconfined basin of constant depth is...
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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...
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Existence of a Solution to Lamb’s Initial-Boundary Value Problem with a Limiting Value of Poisson’s Ratio
AbstractThe paper considers a Lamb’s initial-boundary value problem for an elastic half-space in the case when Poisson’s ratio takes the limiting...
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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...
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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...
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On the Well-Posedness of an Initial–Boundary Value Problem for a Degenerate Heat Equation
AbstractThe well-posedness of an initial–boundary value problem for a model parabolic equation with two power-law degeneration lines is studied....
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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...
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Boundary Value Problem of Calculating Ray Characteristics of Ocean Waves Reflected from Coastline
AbstractA direct variational method for solving the problem of finding ocean wave rays reflected from the coastline with given positions of the...