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Displaying 461 – 480 of 809

Existence of positive solution for second-order impulsive boundary value problems on infinity intervals.

Li, Jianli, Shen, Jianhua (2006)

Boundary Value Problems [electronic only]

Existence of positive solution for semipositone second-order three-point boundary-value problem.

Sun, Jian-Ping, Wei, Jia (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of positive solution of a singular partial differential equation

Shu Qin Zhang (2008)

Mathematica Bohemica

Motivated by Vityuk and Golushkov (2004), using the Schauder Fixed Point Theorem and the Contraction Principle, we consider existence and uniqueness of positive solution of a singular partial fractional differential equation in a Banach space concerning with fractional derivative.

Existence of positive solution to second-order three-point BVPs on time scales.

Sun, Jian-Ping (2009)

Boundary Value Problems [electronic only]

Existence of positive solutions for a class of arbitrary order boundary value problems involving nonlinear functionals

Kyriakos G. Mavridis (2014)

Annales Polonici Mathematici

We give conditions which guarantee the existence of positive solutions for a variety of arbitrary order boundary value problems for which all boundary conditions involve functionals, using the well-known Krasnosel'skiĭ fixed point theorem. The conditions presented here deal with a variety of problems, which correspond to various functionals, in a uniform way. The applicability of the results obtained is demonstrated by a numerical application.

Existence of positive solutions for a class of higher order neutral functional differential equations

Satoshi Tanaka (2001)

Czechoslovak Mathematical Journal

The higher order neutral functional differential equation $\frac{d^{n}}{d t^{n}} [x (t) + h (t) x (τ (t))] + σ f (t, x (g (t))) = 0 (1)$ is considered under the following conditions: $n \geq 2$ , $σ = \pm 1$ , $τ (t)$ is strictly increasing in $t \in [t_{0}, \infty)$ , $τ (t) < t$ for $t \geq t_{0}$ , ${lim}_{t \to \infty} τ (t) = \infty$ , ${lim}_{t \to \infty} g (t) = \infty$ , and $f (t, u)$ is nonnegative on $[t_{0}, \infty) \times (0, \infty)$ and nondecreasing in $u \in (0, \infty)$ . A necessary and sufficient condition is derived for the existence of certain positive solutions of (1).

Existence of positive solutions for a class of higher-order $m$ -point boundary value problems.

Luca, R. (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Existence of positive solutions for a class of $m$ -point boundary value problems.

Zhang, Xuemei, Ge, Weigao (2008)

Advances in Difference Equations [electronic only]

Existence of positive solutions for a discrete three-point boundary value problem.

Yuan, Huting, Zhang, Guang, Zhao, Hongliang (2007)

Discrete Dynamics in Nature and Society

Existence of positive solutions for a fourth-order differential system

Ravi P. Agarwal, B. Kovacs, D. O'Regan (2014)

Annales Polonici Mathematici

This paper investigates the existence of positive solutions for a fourth-order differential system using a fixed point theorem of cone expansion and compression type.

Existence of positive solutions for a fourth-order multi-point beam problem on measure chains.

Anderson, Douglas R., Minhós, Feliz (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of positive solutions for a fractional boundary value problem with lower-order fractional derivative dependence on the half-line

Amina Boucenna, Toufik Moussaoui (2014)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

The aim of this paper is to study the existence of solutions to a boundary value problem associated to a nonlinear fractional differential equation where the nonlinear term depends on a fractional derivative of lower order posed on the half-line. An appropriate compactness criterion and suitable Banach spaces are used and so a fixed point theorem is applied to obtain fixed points which are solutions of our problem.

Existence of positive solutions for a functional fractional boundary value problem.

Bai, Chuanzhi (2010)

Abstract and Applied Analysis

Existence of positive solutions for a nonlinear fourth order boundary value problem

Ruyun Ma (2003)

Annales Polonici Mathematici

We study the existence of positive solutions of the nonlinear fourth order problem $u^{(4)} (x) = λ a (x) f (u (x))$ , u(0) = u’(0) = u”(1) = u”’(1) = 0, where a: [0,1] → ℝ may change sign, f(0) < 0, and λ < 0 is sufficiently small. Our approach is based on the Leray-Schauder fixed point theorem.