Results 1 to 10 of about 767 (126)
Advances in Difference Equations, 2011 In this article, we consider the existence of at least one positive solution to the three-point boundary value problem for nonlinear fractional-order differential equation with an advanced argument where 2 < α ≤ 3, 0 < η < 1 ...
Ntouyas SK, Wang Guotao, Zhang Lihong
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Green's function for singular fractional differential equations and applications [PDF]
arXiv.org, 2022 In this paper, we study the existence of positive solutions for nonlinear fractional differential equation with a singular weight. We derive the Green’s function and corresponding integral operator and then examine compactness of the operator.
J. Lee, Yong-Hoon Lee
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On the number of positive solutions to an indefinite parameter-dependent Neumann problem [PDF]
, 2021 We study the second-order boundary value problem { −u′′ = aλ,μ(t)u(1− u), t ∈ (0, 1), u′(0) = 0, u′(1) = 0, where aλ,μ is a step-wise indefinite weight function, precisely aλ,μ ≡ λ in [0, σ]∪ [1−σ, 1] and aλ,μ ≡ −μ in (σ, 1−σ), for some σ ∈ ( 0, 1 2 ...
Guglielmo Feltrin +2 more
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A new class of mixed fractional differential equations with integral boundary conditions
Moroccan Journal of Pure and Applied Analysis, 2021 This paper deals with a new class of mixed fractional differential equations with integral boundary conditions. We show an important equivalence result between our problem and nonlinear integral Fredholm equation of the second kind.
Somia Djiab, Brahim Nouiri
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A class of nonlinear third-order boundary value problem with integral condition at resonance
Differential Equations & Applications, 2021 We are interested in the existence result for a class of nonlinear third-order three-point boundary value problem with integral condition at resonance.
H. Djourdem
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Open 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
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On a first-order differential system with initial and nonlocal boundary conditions
Demonstratio 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
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Open 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
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Third-order differential equations with three-point boundary conditions
Open Mathematics, 2021 In this paper, a third-order ordinary differential equation coupled to three-point boundary conditions is considered. The related Green’s function changes its sign on the square of definition. Despite this, we are able to deduce the existence of positive
Cabada Alberto, Dimitrov Nikolay D.
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Open Mathematics, 2021 In this article, we investigate the existence of positive solutions for a class of mm-point fractional differential equations whose nonlinear terms involve derivatives.
Sun Wenchao +3 more
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