Results 21 to 30 of about 767 (126)
Open 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
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Boundary 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
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The existence of infinitely many boundary blow-up solutions to the p-k-Hessian equation
Advanced Nonlinear Studies, 2023 The primary objective of this article is to analyze the existence of infinitely many radial pp-kk-convex solutions to the boundary blow-up pp-kk-Hessian problem σk(λ(Di(∣Du∣p−2Dju)))=H(∣x∣)f(u)inΩ,u=+∞on∂Ω.{\sigma }_{k}\left(\lambda \left({D}_{i}\left({|
Feng Meiqiang, Zhang Xuemei
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Existence and nonexistence of entire solutions to the logistic differential equation
Abstract and Applied Analysis, Volume 2003, Issue 17, Page 995-1003, 2003., 2003 We consider the one‐dimensional logistic problem (rαA(|u′|)u′) ′=rαp(r)f(u) on (0, ∞), u(0) > 0, u′(0) = 0, where α is a positive constant and A is a continuous function such that the mapping tA(|t|) is increasing on (0, ∞). The framework includes the case where f and p are continuous and positive on (0, ∞), f(0) = 0, and f is nondecreasing.
Marius Ghergu, Vicenţiu Rădulescu
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Advances 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
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Positive solution of a fractional differential equation with integral boundary conditions
Journal of Applied Mathematics and Computational Mechanics, 2018 In this paper, we prove the existence and uniqueness of a positive solution for a boundary value problem of nonlinear fractional differential equations involving a Caputo fractional operator with integral boundary conditions.
Mohammed S Abdo +2 more
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Open Mathematics, 2018 In this paper, the existence of positive solutions for systems of semipositone singular fractional differential equations with a parameter and integral boundary conditions is investigated. By using fixed point theorem in cone, sufficient conditions which
Hao Xinan, Wang Huaqing
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Existence results for fractional q-difference equations with nonlocal q-integral boundary conditions
Advances in Differential Equations, 2013 In this paper, we discuss the existence of positive solutions for nonlocal q-integral boundary value problems of fractional q-difference equations. By applying the generalized Banach contraction principle, the monotone iterative method, and Krasnoselskii’
Yulin Zhao, Haibo Chen, Qi-Ming Zhang
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Open Mathematics, 2023 In this article, we prove the existence of eigenvalues for the problem (ϕp(u′(t)))′+λh(t)ϕp(u(t))=0,t∈(0,1),Au(0)−A′u′(0)=0,Bu(1)+B′u′(1)=0\left\{\begin{array}{l}\left({\phi }_{p}\left(u^{\prime} \left(t)))^{\prime} +\lambda h\left(t){\phi }_{p}\left(u ...
Wei Liping, Su Shunchang
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Open 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
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