Results 81 to 90 of about 13,879,845 (281)

Positive Solution of a Nonlinear Fractional Differential Equation Involving Caputo Derivative

open access: yes, 2012
This paper is concerned with a nonlinear fractional differential equation involving Caputo derivative. By constructing the upper and lower control functions of the nonlinear term without any monotone requirement and applying the method of upper and lower
Changyou Wang, Haiqiang Zhang, Shu Wang
semanticscholar   +1 more source

Criteria for the existence of positive solutions to delayed functional differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
The paper is concerned with the large time behavior of solutions to functional delayed differential equations $\dot y(t)=f(t,y_t)$ where $f\colon \Omega_n \mapsto {\mathbb{R}}^n$ is a continuous map satisfying a local Lipschitz condition with respect to ...
Josef Diblik
doaj   +1 more source

Stability of stationary solutions in models of the Calvin cycle [PDF]

open access: yesarXiv, 2016
In this paper results are obtained concerning the number of positive stationary solutions in simple models of the Calvin cycle of photosynthesis and the stability of these solutions. It is proved that there are open sets of parameters in a model of Zhu et. al. for which there exist two positive stationary solutions.
arxiv  

Positive solutions for multipoint boundary-value problem with parameters

open access: yesElectronic Journal of Differential Equations, 2008
In this paper, we study a generalized Sturm-Liouville boundary-value problems with two positive parameters. By constructing a completely continuous operator and combining fixed point index theorem and some properties of the eigenvalues of linear ...
Zhongli Wei, Juanjuan Xu
doaj  

Positive solutions for a system of higher-order singular nonlinear fractional differential equations with nonlocal boundary conditions

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
The paper deals with the existence and multiplicity of positive solutions for a system of higher-order singular nonlinear fractional differential equations with nonlocal boundary conditions.
Shengli Xie
doaj   +1 more source

Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation

open access: yes, 2011
The method of upper and lower solutions and the Schauder fixed point theorem are used to investigate the existence and uniqueness of a positive solution to a singular boundary value problem for a class of nonlinear fractional differential equations with ...
Changyou Wang   +3 more
semanticscholar   +1 more source

Exact boundary behavior of the unique positive solution for singular second-order differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
In this paper, we give the exact asymptotic behavior of the unique positive solution to the following singular boundary value problem \begin{equation*} \begin{cases} -\frac{1}{A}(Au^{\prime })^{\prime }=p(x)g(u),\quad x\in (0,1), \\ u>0,\quad \text{in ...
Imed Bachar, Habib Maagli
doaj   +1 more source

Nonexistence of positive solution for an integral equation on a Half-Space R+n

open access: yes, 2011
Let $n, m$ be a positive integer and let $R_+^n$ be the $n$-dimensional upper half Euclidean space. In this paper, we study the following integral equation \begin{eqnarray} u(x)=\int_{R_+^n}G(x,y)u^pdy, \end{eqnarray} where \begin{eqnarray*} G(x ...
Yanqin Fang, Jihui Zhang
semanticscholar   +1 more source

Positive solutions of a boundary value problem with integral boundary conditions

open access: yesElectronic Journal of Differential Equations, 2011
We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters $mu^*, lambda ...
Jeff R. L. Webb
doaj  

Classification and evolution of bifurcation curves for a one-dimensional Neumann–Robin problem and its applications

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2018
We study the classification and evolution of bifurcation curves of positive solutions for the one-dimensional Neumann–Robin boundary value problem \begin{equation*} \begin{cases} u^{\prime \prime }(x)+\lambda f(u(x))=0,\quad 00$ is an evolution parameter,
Chi-Chao Tsai   +2 more
doaj   +1 more source

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