Results 101 to 110 of about 767 (126)
, 2013 In this paper, we study the existence and uniqueness of solutions for the boundary value problem of fractional difference equations {−Δνy(t)=f(t+ν−1,y(t+ν−1)),y(ν−3)=0,Δy(ν−3)=0,y(ν+b)=g(y) and {−Δνy(t)=λf(t ...
Yuan-Yuan Pan +3 more
semanticscholar +1 more source
Some remarks on the comparison principle in Kirchhoff equations [PDF]
arXiv, 2015 In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting some previous results. We give an alternative sub-supersolution method and apply it to some models.
arxiv
Multiple positive solutions to a fourth order boundary value problem [PDF]
arXiv, 2015 We study the existence and multiplicity of positive solutions for a nonlinear fourth-order two-point boundary value problem. The approach is based on critical point theorems in conical shells, Krasnoselskii's compression-expansion theorem, and unilateral Harnack type inequalities.
arxiv
Positive solutions of nonlinear boundary value problems for delayed fractional q-difference systems
, 2014 In this paper, we investigate the existence and uniqueness of positive solutions to nonlinear boundary value problems for delayed fractional q-difference systems by applying the properties of the Green function and some well-known fixed-point theorems ...
Qiaozhen Yuan, Wengui Yang
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A note on existence results for a nonlinear fourth-order integral boundary value problem [PDF]
arXiv, 2017 In this short note, we present some new existence results for a nonlinear fourth-order two-point boundary value problem with integral condition. The existence results are obtained by using the Leray-Schauder fixed point theorem. Our work improves the main results of Benaicha and Haddouchi \cite% {Benai}.
arxiv
Semi linear elliptic systems with dependence on the gradient [PDF]
arXiv, 2018 We provide results on the existence, non-existence, multiplicity and localization of positive radial solutions for semi linear elliptic systems with Dirichlet or Robin boundary conditions on an annulus. Our approach is topological and relies on the classical fixed point index. We present an example to illustrate our theory.
arxiv
Existence of solutions of a second-order impulsive differential equation
, 2014 This paper is concerned with the existence of solutions of a second-order impulsive differential equation with mixed boundary condition. We obtain sufficient conditions for the existence of a unique solution, at least one solution, at least two solutions
Zhiguo Luo, Jingli Xie, Guoping Chen
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, 2014 This paper investigates the higher order differential equations with nonlocal boundary conditions {u(n)(t)+f(t,u(t),u′(t),…,u(n−2)(t))=0,t∈(0,1),u(0)=u′(0)=⋯=u(n−3)(0)=0,u(n−2)(0)=∫01u(n−2)(s)dA(s),u(n−2)(1)=∫01u(n−2)(s)dB(s).
Xinan Hao, Lishan Liu
semanticscholar +1 more source
Existence of positive solutions for a class of conformable fractional differential equations with integral boundary conditions and a parameter [PDF]
arXiv, 2019 In this paper, we study the existence of positive solutions for a class of conformable fractional differential equations with integral boundary conditions. By using the properties of the Green's function and the fixed point theorem in a cone, we obtain some existence results of positive solution. we also provide some examples to illustrate our results.
arxiv
A note on the singular Sturm-Liouville problem with infinitely many solutions
Electronic Journal of Differential Equations, 2002 We consider the Sturm-Liouville nonlinear boundary-value problem $$ displaylines{ -u''(t) = a(t)f(u(t)), quad 0 < t < 1, cr alpha u(0) - eta u'(0) =0, quad gamma u(1) + delta u'(1) = 0, } $$ where $alpha$, $eta$, $gamma$, $delta geq 0$, $alpha gamma ...
Nickolai Kosmatov
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