Results 1 to 10 of about 659 (103)
A positive fixed point theorem with applications to systems of Hammerstein integral equations [PDF]
, 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 ...
Cabada, Alberto +2 more
core +5 more sources
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
semanticscholar +1 more source
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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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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Analysis of positive solutions to one-dimensional generalized double phase problems
Advances in Nonlinear Analysis, 2022 We study positive solutions to the one-dimensional generalized double phase problems of the form: −(a(t)φp(u′)+b(t)φq(u′))′=λh(t)f(u),t∈(0,1),u(0)=0=u(1),\left\{\begin{array}{l}-(a\left(t){\varphi }_{p}\left(u^{\prime} )+b\left(t){\varphi }_{q}\left(u ...
Son Byungjae, Sim Inbo
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Solvability for a system of Hadamard-type hybrid fractional differential inclusions
Demonstratio Mathematica, 2023 In this article, a new system of Hadamard-type hybrid fractional differential inclusions equipped with Dirichlet boundary conditions was constructed. By virtue of a fixed-point theorem due to B. C.
Zhang Keyu, Xu Jiafa
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