Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients. [PDF]
Bound Value Probl, 2023 This paper studies the uniqueness of solutions to a two-term nonlinear fractional integro-differential equation with nonlocal boundary condition and variable coefficients based on the Mittag-Leffler function, Babenko’s approach, and Banach’s contractive ...
Li C.
europepmc +2 more sources
On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization [PDF]
Journal of Differential Equations, 2020 The Cahn–Hilliard equation is one of the most common models to describe phase segregation processes in binary mixtures. Various dynamic boundary conditions have already been introduced in the literature to model interactions of the materials with the ...
P. Knopf, Andrea Signori
semanticscholar +6 more sources
Finite elements for Helmholtz equations with a nonlocal boundary condition [PDF]
SIAM Journal on Scientific Computing, 2020 Numerical resolution of exterior Helmholtz problems requires some approach to domain truncation. As an alternative to approximate nonreflecting boundary conditions and invocation of the Dirichlet-to-Neumann map, we introduce a new, nonlocal boundary ...
R. Kirby, Andreas Klöckner, B. Sepanski
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Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition
Nonlinear Analysis, 2021 In this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
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A Quasilinear Parabolic System with Nonlocal Boundary Condition [PDF]
Boundary Value Problems, 2011 We investigate the blow-up properties of the positive solutions to a quasilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal ...
Botao Chen, Yongsheng Mi, Chunlai Mu
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Reaction–diffusion equation with nonlocal boundary condition subject to PID-controlled bioreactor
Nonlinear Analysis, 2017 We study a system of two parabolic nonlinear reaction–diffusion equations subject to a nonlocal boundary condition. This system of nonlinear equations is used for mathematical modeling of biosensors and bioreactors.
Feliksas Ivanauskas +3 more
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Boundary Controllability of Differential Equations with Nonlocal Condition
Journal of Mathematical Analysis and Applications, 1999 Global exact boundary controllability in a given time-interval of a semilinear abstract dynamical system is considered. It is generally assumed that the dynamical system is defined in an infinite-dimensional Banach space, that it contains both a linear and a nonlinear part, and that, moreover, it satisfies the so-called nonlocal conditions.
Jong-Yeoul Park
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Coupled systems of boundary value problems with nonlocal boundary conditions
Applied Mathematics Letters, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chris Goodrich
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Turkish Journal of Mathematics, 2023 : In this paper, we consider the inverse nodal problem for a quadratic pencil of the Sturm − Liouville equations with parameter-dependent Bitsadze − Samarskii type nonlocal boundary condition and we give an algorithm for the reconstruction of the ...
Yaşar Çakmak, B. Keskin
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On the Schrödinger-parabolic equation with multipoint nonlocal boundary condition
e-Journal of Analysis and Applied Mathematics, 2023 The nonlocal boundary value problem for a Schrödinger-parabolic equation with multipoint nonlocal boundary conditions is examined. Stability estimates for the solution of this problem are established.
Yıldırım Özdemir
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