Results 221 to 230 of about 3,849,109 (255)

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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Nonlocal τ(m)‐Laplacian‐like problem with logarithmic nonlinearity and without Ambrosetti–Rabinowitz condition on compact Riemannian manifolds

Mathematical methods in the applied sciences
By means of variational methods, we study the existence and multiplicity of nontrivial weak solutions for a nonlocal τ(m)$$ \tau (m) $$ ‐Laplacian‐like problem, arising from a capillarity phenomenon, with logarithmic nonlinearity and without the ...
Hind Bouaam, Mohamed El Ouaarabi, C. Allalou, S. Melliani   +3 more
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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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Existence and uniqueness for ψ‐Hilfer fractional differential equation with nonlocal multi‐point condition

Mathematical methods in the applied sciences, 2020
In this paper, we study and investigate the ψ−Hilfer fractional differential equation with nonlocal multi‐point condition of the form: Da+q,p;ψu(t)=f(t,u(t),Da+q,p;ψu(t)),t∈[a,b],Ia+1−r;ψu(a)=∑i=1mβiu(ηi),q≤r=q+p ...
Piyachat Borisut, Poom Kumam, Idris Ahmed, Wachirapong Jirakitpuwapat   +3 more
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Uniformly convergent numerical method for singularly perturbed convection‐diffusion type problems with nonlocal boundary condition

International Journal for Numerical Methods in Fluids, 2020
In this article, we consider a class of singularly perturbed differential equations of convection‐diffusion type with nonlocal boundary conditions. A uniformly convergent numerical method is constructed via nonstandard finite difference and numerical ...
H. Debela, G. Duressa
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Global existence and decay of solutions of a singular nonlocal viscoelastic system with a nonlinear source term, nonlocal boundary condition, and localized damping term

Mathematical methods in the applied sciences, 2020
The paper deals with the existence of a global solution of a singular one‐dimensional viscoelastic system with a nonlinear source term, nonlocal boundary condition, and localized frictional damping a(x)ut using the potential well theory. Furthermore, the
S. Boulaaras, N. Mezouar
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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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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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Positive solutions of nonlocal fractional boundary value problem involving Riemann–Stieltjes integral condition

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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