๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Positive solutions of even higher-order singular superlinear boundary value problems

โœ Scribed by Guoliang Shi; Shaozhu Chen


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
626 KB
Volume
45
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis


This paper investigates 2mth-order (m > 1) superlinear singular two-point boundary value problems and obtains some necessary and sufficient conditions for existence of C2(m-') or C2m-1 positive solutions on the closed interval.


๐Ÿ“œ SIMILAR VOLUMES


Multiple positive solutions to singular
โœ Daqing Jiang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 426 KB

For 1 < k < n-1, we study the existence of multiple positive solutions to the singular (k, n -k) conjugate boundary value problem We show that there are at least two positive solutions if f(t, y) is superlinear at c~ and singular at u = 0, t = 0, and t = 1. The arguments involve only positivity pro

Positive solutions to superlinear singul
โœ Ravi P. Agarwal; Donal O'Regan ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 746 KB

New existence results are presented for the second-order equation y" + f(t, y) = 0, 0 < t < 1 with Dirichlet or mixed boundary data. In our theory the nonlinearity f is allowed to change sign.

Solving singular boundary-value problems
โœ Huanmin Yao; Yingzhen Lin ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 768 KB

In this paper,we present a new algorithm to solve a kind of singular boundary-value problems of higher even-order based on the theory of numerical analysis in the reproducing kernel space W 2m+3 2 [0, 1]. Singular boundary-value problem of sixth-order has been discussed for the problem in the case

Positive solutions of even order system
โœ Qingkai Kong; Min Wang ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 834 KB

We study a class of even order system boundary value problems with periodic boundary conditions. A series of criteria are obtained for the existence of one, two, any arbitrary number, and even a countably infinite number of positive solutions. Criteria for the nonexistence of positive solutions are

Positive solutions of fourth-order nonli
โœ Fuyi Xu; Hua Su; Xiaoyan Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 278 KB

We consider the existence of positive solutions for the following fourth-order singular Sturm-Liouville boundary value problem: where g, p may be singular at t = 0 and/or 1. Moreover F(t, x) may also have singularity at x = 0. The existence and multiplicity theorems of positive solutions for the fo