✦ LIBER ✦

Nontrivial solutions for higher order multi-point boundary value problems

✍ Scribed by Xinguang Zhang; Lishan Liu

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 276 KB
Volume: 56
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2007.04.052

No coin nor oath required. For personal study only.

✦ Synopsis

In the case where a nonlinearity may change sign and contains higher derivatives, we consider the existence of nontrivial solutions for a class of higher order multi-point boundary value problems. Some sufficient conditions for the existence of nontrivial solutions are established under certain suitable growth conditions, our proof is based on Leray-Schauder nonlinear alternative.

📜 SIMILAR VOLUMES

Higher order multi-point boundary value

Higher order multi-point boundary value problems

✍ John R. Graef; Lingju Kong; Qingkai Kong 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 154 KB

Solutions, boundary value problems, lower and upper solutions, Nagumo condition, fixed point theorem MSC (2010) 34B15, 34B18 We consider the boundary value problem u, u , . . . , u (n -1) = 0, t ∈ (0, 1), where n ≥ 2 and m ≥ 1 are integers, tj ∈ [0, 1] for j = 1, . . . , m, and f and gi , i = 0, .

Nontrivial solutions for a nonlinear mul

Nontrivial solutions for a nonlinear multi-point boundary value problem of fractional order

✍ Moustafa El-Shahed; Juan J. Nieto 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 267 KB

solution a b s t r a c t We investigate the existence of nontrivial solutions for a multi-point boundary value problem for fractional differential equations. Under certain growth conditions on the nonlinearity, several sufficient conditions for the existence of nontrivial solution are obtained by u

Higher order semipositone multi-point bo

Higher order semipositone multi-point boundary value problems on time scales

✍ Abdulkadir Dogan; John R. Graef; Lingju Kong 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 347 KB

The authors obtain some existence criteria for positive solutions of a higher order semipositone multi-point boundary value problem on a time scale. Applications to some special problems are also discussed. This work extends and complements many results in the literature on this topic.

Existence of nontrivial solutions for di

Existence of nontrivial solutions for discrete two-point boundary value problems

✍ Guang Zhang; Zhilin Yang 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 159 KB

In this paper, the steady-state temperature distribution of heat diffusion on multi-body is considered. Such problems can be regarded as parallel to the existence part of discrete boundary value problems. The steady-state temperature distribution at least exists a nontrivial case when all heat sourc

Nontrivial solutions for some fourth ord

Nontrivial solutions for some fourth order boundary value problems with parameters

✍ Yang Yang; Jihui Zhang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 679 KB

Nontrivial solutions of singular nonline

Nontrivial solutions of singular nonlinear m-point boundary value problems

✍ Xiaoying Liu 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 125 KB

In this paper, by using the method of topology degree, some existence theorems of nontrivial solutions for singular nonlinear m-point boundary value problems are established. Our nonlinearity may be singular in its dependent variable.