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Fixed sign solutions of second-order difference equations with Neumann boundary conditions

โœ Scribed by A. Cabada; V. Otero-Espinar

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

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โœฆ Synopsis

In this paper, we study the existence of solution of the nonlinear second-order difference problem with Neumann boundary conditions. Assuming the existence of a pair of ordered lower and upper solutions y and p, we obtain optimal existence results for the case y < p and even for y 2 p. To this end, we do an exhaustive study of the values of the real parameters CY and p, for which the associated Green's function to the linear operator L[a, ~1 ua z uk+z -2 Q uk+r +p uk with Neumann boundary conditions has fixed sign.

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