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A generalized approach to solving the mixed boundary value problem governing self-diffusiophoresis
Active matter is an emerging area of interest but the broken symmetry necessary for motion increases the complexity of mathematical modeling....
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Internal and Startup Controls of the Solutions of Boundary-Value Problem for Parabolic Equations with Degenerations
For a second-order parabolic equation with degenerations, we construct the solution of the problem of optimal control for systems described by the...
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Optimal Control of the Behavior of Solutions to an Initial-Boundary Value Problem Arising in the Mechanics of Discrete-Continuum Systems
We consider an initial-boundary value problem for a system of two differential equations, one of which is ordinary and the other a partial...
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Fractional Order Nonlocal Thermistor Boundary Value Problem on Time Scales
This paper investigates the existence, uniqueness, and continuous dependence of solutions to fractional order nonlocal thermistor two-point boundary...
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On the initial boundary value problem for the propagating chemical reaction front in an elastic solid
The paper is concerned with the study of a chemical reaction between diffusing and solid constituents. The reaction is localized at a propagating...
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Boundary-Value Problem for Systems of Convolutional Equations in Anisotropic Functional Spaces
In this paper, anisotropic classes of well-posed Cauchy problems and boundary-value problems for systems of convolutions equations are obtained. For...
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On One Nonlinear Inverse Boundary Value Problem for Linearized Sixth-Order Boussinesq Equation with an Additional Integral Condition
AbstractA huge number of mathematical models are called Boussinesq-type equations; therefore, a wide range of sixth-order Boussinesq-type equations...
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On the reduction of an autonomous nonlinear boundary value problem unsolved with respect to the derivative to the first-order critical case
Constructive solvability conditions and a scheme for constructing solutions of an autonomous nonlinear boundary value problem unsolved with respect...
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An inverse boundary value problem for isotropic nonautonomous heat flows
We study an inverse boundary value problem on the determination of principal order coefficients in isotropic nonautonomous heat flows stated as...
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On Generalized Solutions of the Second Boundary-Value Problem for Differential-Difference Equations with Variable Coefficients
We consider the second boundary-value problem for a second-order differential-difference equation with variable coefficients on the interval (0, d ) . ...
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On the Solution of Caputo Fractional High-Order Three-Point Boundary Value Problem with Applications to Optimal Control
This research paper establishes the existence and uniqueness of solutions for a non-integer high-order boundary value problem, incorporating the...
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Approximate Analytical Solution of the Bratu Boundary-Value Problem
Three new approaches to the solution of the Bratu problem are presented. The first approach realizes the idea of successive differentiating the...
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The Nonlinear Boundary Value Problem for k Holomorphic Functions in ℂ2
k holomorphic functions are a type of generation of holomorphic functions. In this paper, a nonlinear boundary value problem for k holomorphic...
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On a Boundary Value Problem for a Third-Order Equation of Parabolic-Hyperbolic Type with a Fractional Order Operator
AbstractIn the paper, we consider a boundary value problem for a third-order mixed differential equation of parabolic-hyperbolic type with a...
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On the Effect of Irregularity of the Domain Boundary on the Solution of a Boundary Value Problem for the Laplace Equation
AbstractWe consider an inhomogeneous boundary value problem with mixed boundary conditions for the Laplace equation in a domain representing a...
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A two-point boundary value problem associated with Hamiltonian systems on a cylinder
We prove the existence of multiple solutions for a two-point boundary value problem associated with Hamiltonian systems on a cylinder. Unlike the...
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On Approximate Solutions of a Nonlinear Periodic Boundary-Value Problem with Switching in the Case of Parametric Resonance by the Newton–Kantorovich Method
We study the problem of determination of conditions for the existence of solutions to weakly nonlinear periodic boundary-value problems for systems...
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Solvability of an Initial–Boundary Value Problem for the Modified Kelvin–Voigt Model with Memory along Fluid Motion Trajectories
AbstractThe paper deals with proving the weak solvability of an initial–boundary value problem for the modified Kelvin–Voigt model taking into...
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A Nonlocal Initial Conditional Boundary Value Problem on Metric Graph
The main task of the present research is a nonlocal boundary value problem for a time-fractional differential equation involving the Hilfer...