Results 301 to 310 of about 8,614,781 (356)

Nonlocal conditions for fractional differential equations

Studia Universitatis Babeş-Bolyai. Mathematica
In this work we use the method of lower and upper solutions to develop an iterative technique, which is not necessarily monotone, and combined with a fixed point theorem to prove the existence of at least one solution of nonlinear fractional differential
A. Boucherif, Fatima Dib, N. Daoudi-Merzagui   +2 more
semanticscholar   +1 more source

On a Nonlocal BVP with Nonlinear Boundary Conditions

Results in Mathematics, 2012
The author considers the existence of a positive solution to a boundary value problem where one of the boundary conditions is allowed to be nonlocal and nonlinear, namely \[ \begin{gathered} u''(t)+f(t,u(t))=0,\;t \in (0,1),\\ u(0) =H_{1}(\varphi (u))+\int_E H_{2}(s,u(s))\,ds,\;u(1) =0.\\ \end{gathered} \] Here, \(E\) is a measurable subset of \((0,1)\)
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Gellerstedt Problem with a Nonlocal Parity Boundary Condition

Lobachevskii Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Eigenvalues of Some Problems with a Nonlocal Condition

Differential Equations, 2002
The author focuses attention to the case in which the system of eigenvectors of a finite difference operator with nonlocal conditions is complete.The results are used in the solution of a system of a finite difference equations by an iterative method with a Chebyshev set of iterative parameters. No numerical experiments are performed.
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A parabolic equation with nonlocal conditions

Journal of Mathematical Sciences, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Existence and Regularity of Solutions for Some Partial Integrodifferential Equations Involving the Nonlocal Conditions

Numerical Functional Analysis and Optimization, 2019
The aim of this work is to prove some results about the existence and regularity of solutions for some partial integrodifferential equations with nonlocal conditions.
K. Ezzinbi, S. Ghnimi
semanticscholar   +1 more source

Equilibrium conditions for nonlocal problems

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002
The paper is concerned with obtaining generalized optimality conditions for a kind of nonlocal variational problems.
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Mild solution of stochastic partial differential equation with nonlocal conditions and noncompact semigroups

Mathematica Slovaca, 2019
The aim of this paper is to discuss the existence of mild solutions for a class of semilinear stochastic partial differential equation with nonlocal initial conditions and noncompact semigroups in a real separable Hilbert space.
Xuping Zhang, Pengyu Chen, Ahmed Abdelmonem, Yongxiang Li   +3 more
semanticscholar   +1 more source

Evolution Problems with Nonlinear Nonlocal Boundary Conditions

Journal of Dynamics and Differential Equations, 2013
The authors consider a nonlinear evolution problem with nonlinear nonlocal boundary conditions. They concentrate on existence results obtained by applying the degree theory for function triples with a Fredholm function developed in [the third author, Topological analysis. From the basics to the triple degree for nonlinear Fredholm inclusions.
Irene Benedetti, TADDEI, Valentina, Martin Vath   +2 more
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Existence Results of Mild Solutions for Impulsive Fractional Integrodifferential Evolution Equations With Nonlocal Conditions

International journal of nonlinear sciences and numerical simulation, 2019
In this paper, we investigate the existence of mild solutions of impulsive fractional integrodifferential evolution equations with nonlocal conditions via the fixed point theorems and fractional cosine family combined with solutions operator theorems ...
Xuping Zhang, Haide Gou, Yongxiang Li
semanticscholar   +1 more source