Results 11 to 20 of about 265 (82)

Analytical and numerical study for the generalized q-deformed sinh-Gordon equation

open access: yesNonlinear Engineering, 2023
In this article, we study the generalized qq-deformed sinh-Gordon equation analytically using the new general form of Kudryashov’s approach and numerically using the finite difference method.
Ali Khalid K.
doaj   +1 more source

Shooting method in the application of boundary value problems for differential equations with sign-changing weight function

open access: yesOpen Mathematics, 2022
In this paper, we use the shooting method to study the solvability of the boundary value problem of differential equations with sign-changing weight function: u″(t)+(λa+(t)−μa−(t))g(u)=0 ...
Yue Xu, Xiaoling Han
doaj   +1 more source

On a first-order differential system with initial and nonlocal boundary conditions

open access: yesDemonstratio Mathematica, 2022
This paper is devoted to the existence of solutions and the multiplicity of positive solutions of an initial-boundary value problem for a nonlinear first-order differential system with nonlocal conditions.
Ngoc Le Thi Phuong, Long Nguyen Thanh
doaj   +1 more source

Positive solutions for boundary value problems of a class of second-order differential equation system

open access: yesOpen Mathematics, 2023
This article discusses the existence of positive solutions for the system of second-order ordinary differential equation boundary value problems −u″(t)=f(t,u(t),v(t),u′(t)),t∈[0,1],−v″(t)=g(t,u(t),v(t),v′(t)),t∈[0,1],u(0)=u(1)=0,v(0)=v(1)=0,\left\{\begin{
Wang Dan, Li Yongxiang, Su Yi
doaj   +1 more source

Uniqueness of positive solutions for boundary value problems associated with indefinite ϕ-Laplacian-type equations

open access: yesOpen Mathematics, 2021
This paper provides a uniqueness result for positive solutions of the Neumann and periodic boundary value problems associated with the ϕ-Laplacian equation (ϕ(u′))′+a(t)g(u)=0,(\phi \left(u^{\prime} ))^{\prime} +a\left(t)g\left(u)=0, where ϕ is a ...
Boscaggin Alberto   +2 more
doaj   +1 more source

Oscillatory bifurcation problems for ODEs with logarithmic nonlinearity

open access: yesOpen Mathematics, 2021
We study the global structure of the oscillatory perturbed bifurcation problem which comes from the stationary logarithmic Schrödinger equation −u″(t)=λ(log(1+u(t))+sinu(t)),u(t)>0,t∈I≔(−1,1),u(±1)=0,-{u}^{^{\prime\prime} }\left(t)=\lambda (\log \left(1 ...
Shibata Tetsutaro
doaj   +1 more source

Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator

open access: yesBoundary Value Problems, 2012
In this article, the author investigates the existence and multiplicity of positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator D0+βφpD0+αu(t)+f(t,u(t))=0 ...
G. Chai
semanticscholar   +1 more source

On the evolutionary bifurcation curves for the one-dimensional prescribed mean curvature equation with logistic type

open access: yesOpen Mathematics, 2021
We study the bifurcation diagrams and exact multiplicity of positive solutions for the one-dimensional prescribed mean curvature equation −u′1+u′2′=λu1+up,−LL∗L\gt {L}^{\ast }, and is exactly decreasing for λ>λ∗\lambda \gt {\lambda }^{\ast } if ...
Zhang Jiajia   +3 more
doaj   +1 more source

A positive fixed point theorem with applications to systems of Hammerstein integral equations [PDF]

open access: yes, 2014
We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to prove the existence of positive solutions ...
A. Cabada, J. Cid, G. Infante
semanticscholar   +1 more source

On the existence of bound and ground states for some coupled nonlinear Schrödinger–Korteweg–de Vries equations

open access: yesAdvances in Nonlinear Analysis, 2017
We show the existence of positive bound and ground states for a system of coupled nonlinear Schrödinger–Korteweg–de Vries equations. More precisely, we prove that there exists a positive radially symmetric ground state if either the coupling coefficient ...
Colorado Eduardo
doaj   +1 more source

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