Results 21 to 30 of about 650 (101)

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

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

Existence results for fractional q-difference equations with nonlocal q-integral boundary conditions

open access: yesAdvances 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
semanticscholar   +1 more source

Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions

open access: yesOpen 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
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

Multiple Positive solutions of a $(p_1,p_2)$-Laplacian system with nonlinear BCs [PDF]

open access: yes, 2015
Using the theory of fixed point index, we discuss existence, non-existence, localization and multiplicity of positive solutions for a $(p_1,p_2)$-Laplacian system with nonlinear Robin and/or Dirichlet type boundary conditions.
Cianciaruso, Filomena   +1 more
core   +2 more sources

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

Nontrivial solutions of boundary value problems for second order functional differential equations [PDF]

open access: yes, 2015
In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine ...
Calamai, Alessandro, Infante, Gennaro
core   +1 more source

Connected component of positive solutions for one-dimensional p-Laplacian problem with a singular weight

open access: yesOpen 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
doaj   +1 more source

Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters

open access: yes, 2014
In this paper, we study the existence of a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters.
Ying Wang, Lishan Liu, Yonghong Wu
semanticscholar   +1 more source

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