Asymptotic Behavior of Solution Branches of Nonlocal Boundary Value Problems
Sign Up to like & getrecommendations! Published in 2020 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-020-0203-9
Abstract: In this article, by employing an oscillatory condition on the nonlinear term, a result is proved for the existence of connected component of solutions set of a nonlocal boundary value problem, which bifurcates from infinity… read more here.
Keywords: asymptotic behavior; behavior solution; nonlocal boundary; boundary value ... See more keywords
Well-posedness of nonlocal boundary value problem for a system of loaded hyperbolic equations and an algorithm for finding its solution
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.12.005
Abstract: Abstract The article introduces a new general solution to a family of loaded ordinary differential equations and discusses its properties. It provides necessary and sufficient conditions for the well-posedness of a linear nonlocal boundary value… read more here.
Keywords: value; problem system; well posedness; value problem ... See more keywords
Nonlocal Boundary Conditions for Split-Step Padé Approximations of the Helmholtz Equation With Modified Refractive Index
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Antennas and Wireless Propagation Letters"
DOI: 10.1109/lawp.2018.2855086
Abstract: This research is concerned with the numerical methods for the electromagnetic wave propagation over the Earth's surface. Discrete nonlocal boundary conditions for the Padé parabolic equation are derived. A linear dependence of the modified refractive… read more here.
Keywords: boundary conditions; step; nonlocal boundary; modified refractive ... See more keywords
Locally One-Dimensional Difference Scheme for a Nonlocal Boundary Value Problem for a Parabolic Equation in a Multidimensional Domain
Sign Up to like & getrecommendations! Published in 2020 at "Differential Equations"
DOI: 10.1134/s0012266120030088
Abstract: Abstract We study a nonlocal boundary value problem for a parabolic equation in the multidimensional case. A locally one-dimensional difference scheme is constructed to solve this problem numerically. A priori estimates are derived by the… read more here.
Keywords: difference; one dimensional; scheme; nonlocal boundary ... See more keywords
Positive global solutions of nonlocal boundary value problems for the nonlinear convection reaction-diffusion equations
Sign Up to like & getrecommendations! Published in 2017 at "Boundary Value Problems"
DOI: 10.1186/s13661-016-0744-y
Abstract: In this paper, the nonlocal boundary value problems for a class of nonlinear functional convection reaction-diffusion equations with the singular reaction function are studied by using the method of upper and lower solutions and monotone… read more here.
Keywords: boundary value; value problems; nonlocal boundary; convection reaction ... See more keywords
Nontrivial solutions of nonlocal boundary value problems for nonlinear higher-order singular fractional differential equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Analysis and Computation"
DOI: 10.11948/2018.938
Abstract: This paper deals with the existence and multiplicity of nontrivial solutions of nonlocal boundary value problems for nonlinear higher-order singular fractional differential equations with sign-changing nonlinear term. The main tool used in the proof is… read more here.
Keywords: nontrivial solutions; problems nonlinear; solutions nonlocal; boundary value ... See more keywords
A Symbolic Method for Solving a Class of Convolution-Type Volterra-Fredholm-Hammerstein Integro-Differential Equations under Nonlocal Boundary Conditions
Sign Up to like & getrecommendations! Published in 2023 at "Algorithms"
DOI: 10.3390/a16010036
Abstract: Integro-differential equations involving Volterra and Fredholm operators (VFIDEs) are used to model many phenomena in science and engineering. Nonlocal boundary conditions are more effective, and in some cases necessary, because they are more accurate measurements… read more here.
Keywords: nonlocal boundary; integro differential; volterra fredholm; boundary conditions ... See more keywords
Multiplicity of Positive Solutions to Nonlocal Boundary Value Problems with Strong Singularity
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11010007
Abstract: In this paper, we consider generalized Laplacian problems with nonlocal boundary conditions and a singular weight, which may not be integrable. The existence of two positive solutions to the given problem for parameter λ belonging… read more here.
Keywords: boundary value; value problems; multiplicity positive; solutions nonlocal ... See more keywords
Superharmonic functions in the upper half space with a nonlocal boundary condition
Sign Up to like & getrecommendations! Published in 2025 at "Discrete and Continuous Dynamical Systems"
DOI: 10.3934/dcds.2025016
Abstract: We discuss the existence of positive superharmonic functions $u$ in $\mathbb{R}^N_+=\mathbb{R}^{N-1}\times (0, \infty)$, $N\geq 3$, in the sense $-\Delta u=\mu$ for some Radon measure $\mu$, so that $u$ satisfies the nonlocal boundary condition $$ \frac{\partial… read more here.
Keywords: superharmonic functions; boundary condition; functions upper; nonlocal boundary ... See more keywords