๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Extensions of quasilinearization method for differential equations with integral boundary conditions

โœ Scribed by T. Jankowski

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
505 KB
Volume
37
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

โœฆ Synopsis

The method of extended quasilinearization is used for ordinary differential equations with integral boundary conditions. Given are sufficient conditions when two-sided monotone iterations converge quadratically to a unique solution of this problem.

๐Ÿ“œ SIMILAR VOLUMES

Positive solutions for second order impu
Positive solutions for second order impulsive differential equations with integral boundary conditions
โœ Xinan Hao; Lishan Liu; Yonghong Wu ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 266 KB

This paper is concerned with a class of second order impulsive differential equations with integral boundary conditions. Under different combinations of superlineary and sublinearity of nonlinear term and the impulses, various existence, multiplicity, and nonexistence results for positive solutions

Symmetric positive solutions for -Laplac
Symmetric positive solutions for -Laplacian fourth-order differential equations with integral boundary conditions
โœ Xuemei Zhang; Meiqiang Feng; Weigao Ge ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 572 KB

This paper investigates the existence and multiplicity of symmetric positive solutions for a class of p-Laplacian fourth-order differential equations with integral boundary conditions. The arguments are based upon a specially constructed cone and the fixed point theory for cones. The nonexistence of