Results 1 to 10 of about 4,882 (216)

On some problems with nonlocal integral condition

Mathematical Modelling and Analysis, 2010
We study the second order nonlinear boundary value problems with non‐local integral conditions and construct the Fučík type spectrum for these problems.
Natalija Sergejeva
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The Airy equation with nonlocal conditions

Studies in Applied Mathematics, 2023
AbstractWe study a third‐order dispersive linear evolution equation on the finite interval subject to an initial condition and inhomogeneous boundary conditions but, in place of one of the three boundary conditions that would typically be imposed, we use a nonlocal condition, which specifies a weighted integral of the solution over the spatial interval.
B. Normatov, D. A. Smith
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Sturm–Liouville problem with two point nonlocal second type boundary condition

Lietuvos Matematikos Rinkinys, 2005
The Sturm–Liouville problemwith one classical boundary condition and other two point second type nonlocal boundary conditions is considered in this paper. Three cases of nonlocal conditions are investigated.
Sigita Pečiulytė, Artūras Štikonas
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The effect of a new two-point nonlocal condition on the eigenvalue problem of the difference scheme for an elliptic partial differential equation

Alexandria Engineering Journal, 2022
In this paper, a new form of two-point nonlocal boundary conditions is presented. This condition generalizes a Dirichlet condition at one boundary and a mixed condition at the other one.
S.M. Helal, A. Elmekawy
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Asymptotic analysis of Sturm-Liouville problem with Dirichlet and nonlocal two-point boundary conditions

Mathematical Modelling and Analysis, 2023
In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
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On a Coupled System of Random and Stochastic Nonlinear Differential Equations with Coupled Nonlocal Random and Stochastic Nonlinear Integral Conditions

Mathematics, 2021
It is well known that Stochastic equations had many useful applications in describing numerous events and problems of real world, and the nonlocal integral condition is important in physics, finance and engineering.
Ahmed M. A. El-Sayed, Hoda A. Fouad
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Nonlocal Neumann boundary conditions

Bruno Pini Mathematical Analysis Seminar, 2023
We present some properties of a nonlocal version of the Neumann boundary conditions associated to problems involving the fractional p-Laplacian. For this problems, we show some regularity results for the general case and some existence results for particular types of problems.
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Impulsive Integrodifferential Equations Involving Nonlocal Initial Conditions [PDF]

Advances in Difference Equations, 2011
The authors study the existence and uniqueness of mild solutions for the Cauchy problem for impulsive Riemann-Liouville integro-differential equations involving non-local initial condition: \[ \begin{gathered} u'(t)- \int^t_0 {(t- s)^{\alpha-2}\over \Gamma(\alpha- 1)} Au(s)\,ds= F(t,u(t)),\quad 0\leq t\leq a,\;t\neq t_1,\\ u(0)= H(u),\\ u(t^+_i)= u(t ...
Jun Xia, Rong-Nian Wang
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Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method

Results in Applied Mathematics, 2021
We present an optimization-based coupling method for local and nonlocal continuum models. Our approach couches the coupling of the models into a control problem where the states are the solutions of the nonlocal and local equations, the objective is to ...
Marta D’Elia, Pavel Bochev
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A third‐order nonlocal problem with nonlocal conditions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2004
We study an equation with dominated lower‐order terms and nonlocal conditions. Using the Riesz representation theorem and the Schauder fixed‐point theorem, we prove the existence and uniqueness of a generalized solution.
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