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Generalized Tikhonov regularization method for an inverse boundary value problem of the fractional elliptic equation
This research studies the inverse boundary value problem for fractional elliptic equation of Tricomi–Gellerstedt–Keldysh type and obtains a condition...
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Energy Estimates and Existence Results for a Quasilinear Periodic Boundary Value Problem
This paper focuses on the existence of solutions and energy estimates for a specific type of periodic boundary value problem. By precisely...
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Initial-Boundary Value Problem for a Degenerate High Even-Order Partial Differential Equation with the Bessel Operator
AbstractIn the present work, an initial-boundary value problem for a high even order partial differential equation with a Bessel operator is...
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On the Variable Exponent Riemann Boundary Value Problem for Liapunov Open Curve
In this paper, we first study the Riemann boundary value problem for Liapunov open curve in variable exponent space, we supplement the open curve as...
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Boundary-Value Problem for a Loaded Mixed-Type Equation with a Characteristic Line of Type Change
We prove the unique solvability of the boundary-value problem for a loaded third-order integrodifferential equation with parabolic-hyperbolic...
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Solution of an Inverse Boundary Value Problem of Heat Exchange for a Hollow Cylinder
AbstractThe article solves the problem of determining the temperature on the inner wall of a hollow cylinder. Using a time Fourier transform, the...
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p-Regularity Theory and the Existence of a Solution to a Boundary Value Problem Continuously Dependent on Boundary Conditions
AbstractFor a given boundary value problem, the existence of a solution depending continuously on the boundary conditions is analyzed. Previously,...
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On the Solvability of an Initial–Boundary Value Problem for a High Even Order Partial Differential Equation Degenerating on the Domain Boundary
AbstractAn initial–boundary value problem is posed in a rectangle for a degenerate partial differential equation of high even order with a Bessel...
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Solution of a Boundary Value Problem for a System of Integro-Differential Equations Arising in a Model of Plasma Physics
AbstractWe consider a boundary value problem for a system of integro-differential equations arising when modeling the influence of an electric...
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The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane
We consider the initial-boundary value problem of the nonlinear Schrödinger equation on the half plane with a nonlinear Neumann boundary condition....
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Asymptotics of the Solution of the Initial Boundary Value Problem for the One-Dimensional Klein–Gordon Equation with Variable Coefficients
AbstractIn the paper, formal asymptotic solutions of the initial-boundary value problem for the one-dimensional Klein–Gordon equation with variable...
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On the second boundary value problem for a class of fully nonlinear flow III
We study the solvability of the second boundary value problem of the Lagrangian mean curvature equation arising from special Lagrangian geometry. By...
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Boundary Value Problem for an Inhomogeneous Fourth-Order Equation with Lower-Order Terms
AbstractWe consider the first boundary value problem in a rectangular domain for an inhomogeneous fourth-order differential equation with...
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Mathematical Boundary Value Problem of Linear Electro-Elasticity
In this chapter, we present the formulation of the mathematical boundary value problem of linear electro elasticity. Based on the rules for the...
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Uniqueness of Solution of Boundary-Value Problem with Integral Condition for Mixed-Type Equation with Bessel Operator
AbstractA boundary-value problem with nonlocal integral condition is studied for a mixed-type equation with Bessel operator in a rectangular domain....
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Boundary-Value Problem for the Fourth-Order Equation with Multiple Characteristics in a Rectangular Domain
For a fourth-order equation with minor terms, we consider a boundary-value problem in a rectangular domain. The uniqueness of solution of the posed...
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On the Problem of Solvability of Nonlinear Boundary Value Problems for Shallow Isotropic Shells of Timoshenko Type in Isometric Coordinates
AbstractThe solvability of a boundary value problem for a system of five nonlinear second-order partial differential equations under given nonlinear...
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Cauchy type integrals and a boundary value problem in a complex Clifford analysis
Clifford analysis is an important branch of modern analysis; it has a very important theoretical significance and application value, and its...
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Basic Properties of Solutions of Boundary Value Problem for the Dirac-Wave Operator
We study local and global properties of solutions of the boundary value problem for the Dirac wave operator. This includes explicit formulas, domain...
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Nontrivial Solutions for a First-order Impulsive Integral Boundary Value Problem on Time Scales
In this paper we use topological degree to study the solvability for a first-order impulsive integral boundary value problem on time scales. We first...