Global Well-Posedness for a Nonlocal Gross–Pitaevskii Equation with Non-Zero Condition at Infinity [PDF]
, 2010 We study the Gross-Pitaevskii equation involving a nonlocal interaction potential. Our aim is to give sufficient conditions that cover a variety of nonlocal interactions such that the associated Cauchy problem is globally well-posed with non-zero ...
André de Laire
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First order systems of odes with nonlinear nonlocal boundary conditions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this article, we prove existence of solutions for a nonlocal boundary value problem with nonlinearity in a nonlocal condition. Our method is based upon Mawhin's coincidence theory.
Igor Kossowski, Bogdan Przeradzki
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EXISTENCE OF FUZZY SOLUTIONS FOR IMPULSIVE SEMILINEAR DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITION [PDF]
, 2014 In this paper,the work is focussed on the study of fuzzy impul- sive semilinear differential equations with nonlocal condition.The results are obtained by using the fixed point principles.
S. Vengataasalam, R. Ramesh
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Finite Elements for Helmholtz Equations with a Nonlocal Boundary Condition [PDF]
SIAM Journal on Scientific Computing, 2021 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 ...
Robert C. Kirby +2 more
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QUANTUM STOCHASTIC EVOLUTIONS WITH NONLOCAL CONDITION [PDF]
, 2015 This work is concerned with nonlocal problem of Quantum stochas- tic evolution of Hudson-Parthasarathy quantum stochastic calculus. By em- ploying fixed point theorem we established the existence and uniqueness of mild and strong solutions of the problem.
M. O. Ogundiran
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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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Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition
Nonlinear Analysis, 2012 Two-dimensional parabolic equation with nonlocal condition is solved by alternating direction method in the rectangular domain. Values of the solution on the boundary points are bind with the integral of the solution in whole two-dimensional domain ...
Mifodijus Sapagovas +1 more
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Nonlocal Operational Calculi for Dunkl Operators [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The one-dimensional Dunkl operator $D_k$ with a non-negative parameter $k$, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of $D_k$, satisfying this condition is studied.
Ivan H. Dimovski, Valentin Z. Hristov
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Analysis of a spatial memory model with nonlocal maturation delay and hostile boundary condition
, 2020 In this paper, we propose and investigate a memory-based reaction-diffusion equation with nonlocal maturation delay and homogeneous Dirichlet boundary condition. We first study the existence of the spatially inhomogeneous steady state.
Qi An, Chuncheng Wang, Hao Wang
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Journal of Applied Mathematics and Computation, 2020 In this paper, we investigate the existence of positive solutions for a nonlocal fractional boundary value problem involving Caputo fractional derivative and nonlocal Riemann–Stieltjes integral boundary condition.
Faouzi Haddouchi
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