Results 41 to 50 of about 98 (94)

Existence and Uniqueness Results for the Coupled Pantograph System With Caputo Fractional Operator and Hadamard Integral

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals.
Gunaseelan Mani   +4 more
wiley   +1 more source

k‐component disconjugacy for systems of ordinary differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 2, Page 373-380, 1986., 1986
Disconjugacy of the kth component of the mth order system of nth order differenttal equations Y(n) = f(x, Y, Y′, …, Y(n−1)), (1.1), is defined, where f(x, Y1, …, Yn), are continuous. Given a solution Y0(x) of (1.1), k‐component disconjugacy of the variational equation , (1.2), is also studied.
Johnny Henderson
wiley   +1 more source

A surprising property of nonlocal operators: the deregularising effect of nonlocal elements in convolution differential equations

open access: yesAdvanced Nonlinear Studies
We consider nonlocal differential equations with convolution coefficients of the form−M(a*|u|q)(1)μ(t)u″(t)=λft,u(t), t∈(0,1), $$-M\left(\left(a {\ast} \vert u{\vert }^{q}\right)\left(1\right)\mu \left(t\right)\right){u}^{{\prime\prime}}\left(t\right ...
Goodrich Christopher S.
doaj   +1 more source

The multiplicity of positive solutions for systems of fractional boundary value problems

open access: yes, 2019
This paper focuses on the multiple positive solutions for a coupled system of nonlinear boundary value problems of fractional order. Our approach is based on a fixed point theorem due to Bai and Ge.
Deren, Fulya Yoruk
core   +1 more source

Advanced Fixed Point Methods for Analyzing Coupled Caputo Q‐Fractional Boundary Value Problems With Supportive Examples

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
This article analyzes a complex coupled system of multipoint nonlinear boundary value problems involving Caputo‐type fractional discrete differential equations with multiple fractional q−integrals. We establish the uniqueness and existence of solutions using a rigorous approach grounded in fixed‐point theory, specifically Banach’s fixed‐point theorem ...
Hasanen A. Hammad   +3 more
wiley   +1 more source

A new approach for solving Bratu’s problem

open access: yesDemonstratio Mathematica, 2019
A numerical technique for one-dimensional Bratu’s problem is displayed in this work. The technique depends on Bernstein polynomial approximation. Numerical examples are exhibited to verify the efficiency and accuracy of the proposed technique.
Ghomanjani Fateme, Shateyi Stanford
doaj   +1 more source

2‐Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, we present the notion of 2‐conformal vector fields on Riemannian and semi‐Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2‐conformal. A few implications of 2‐conformal vector fields in hyperbolic Ricci solitons are investigated.
Rawan Bossly   +3 more
wiley   +1 more source

Solvability for a nonlinear three‐point boundary value problem with p‐Laplacian‐like operator at resonance

open access: yes, 2001
Abstract and Applied Analysis, Volume 6, Issue 4, Page 191-213, 2001.
M. García-Huidobro   +2 more
wiley   +1 more source

S-shaped connected component of radial positive solutions for a prescribed mean curvature problem in an annular domain

open access: yesOpen Mathematics, 2019
In this paper, we show the existence of an S-shaped connected component in the set of radial positive solutions of boundary value ...
Xu Man, Ma Ruyun
doaj   +1 more source

Existence results for a coupled system of higher-order nonlinear differential equations with integral-multipoint boundary conditions [PDF]

open access: yes
In this paper, we establish the existence and uniqueness criteria for solutions of an integral-multipoint coupled boundary value problem involving a system of nonlinear higher-order ordinary differential equations.
NTOUYAS, Sotiris K.   +3 more
core   +1 more source

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