Results 1 to 10 of about 3,849,109 (255)

Sturm–Liouville problem with two point nonlocal second type boundary condition

open access: diamondLietuvos 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
doaj   +5 more sources

Existence of Solution for a Conformable Fractional Cauchy Problem with Nonlocal Condition [PDF]

open access: goldInternational Journal of Differential Equations, 2022
In this work, we prove the existence and uniqueness of mild solution of the fractional conformable Cauchy problem with nonlocal condition. We obtained these results by applying the fixed point theorems precisely to the fixed point theorem of ...
Khalid Hilal   +2 more
openalex   +2 more sources

First order systems of odes with nonlinear nonlocal boundary conditions [PDF]

open access: yesElectronic 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
doaj   +4 more sources

Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition

open access: yesNonlinear 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
doaj   +2 more sources

Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition

open access: diamondNonlinear 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
doaj   +3 more sources

Generalized Huygens' Condition as the Fulcrum of Planar Nonlocal Omnidirectional Transparency: From Meta‐Atoms to Metasurfaces [PDF]

open access: yesAdvanced Optical Materials, 2023
Fresnel reflection has been known for centuries to fundamentally impede efficient transmittance across planar interfaces, especially at grazing incidence. In this work, the generalized Huygens' condition (GHC) is introduced to resolve such intricacies in
A. Shaham, A. Epstein
semanticscholar   +1 more source

New interpretation of topological degree method of Hilfer fractional neutral functional integro-differential equation with nonlocal condition

open access: yesAIMS Mathematics, 2023
This manuscript deals with the concept of Hilfer fractional neutral functional integro-differential equation with a nonlocal condition. The solution representation of a given system is obtained from the strongly continuous operator, linear operator and ...
Kanagaraj Muthuselvan   +3 more
semanticscholar   +1 more source

Solvability of a State–Dependence Functional Integro-Differential Inclusion with Delay Nonlocal Condition

open access: yesMathematics, 2022
There is great focus on phenomena that depend on their past history or their past state. The mathematical models of these phenomena can be described by differential equations of a self-referred type. This paper is devoted to studying the solvability of a
T. Hassan   +5 more
semanticscholar   +1 more source

Results on Implicit Fractional Pantograph Equations with Mittag-Leffler Kernel and Nonlocal Condition

open access: yesJournal of mathematics, 2022
In this study, the main focus is on an investigation of the sufficient conditions of existence and uniqueness of solution for two-classess of nonlinear implicit fractional pantograph equations with nonlocal conditions via Atangana–Baleanu–Riemann ...
M. Almalahi, S. K. Panchal, F. Jarad
semanticscholar   +1 more source

Controllability of Hilfer fractional integro-differential equations of Sobolev-type with a nonlocal condition in a Banach space

open access: yesEvolution Equations and Control Theory, 2021
This paper aims to establish sufficient conditions for the exact controllability of the nonlocal Hilfer fractional integro-differential system of Sobolev-type using the theory of propagation family \begin{document}$ \{P(t), \; t\geq0\} $\end{document ...
Ankit Kumar, K. Jeet, R. Vats
semanticscholar   +1 more source

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