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Positive solutions for a class of boundary value problems on time scales

โœ Scribed by Meiqiang Feng; Xuemei Zhang; Weigao Ge


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
241 KB
Volume
54
Category
Article
ISSN
0898-1221

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โœฆ Synopsis


By obtaining intervals of the parameter ฮป, this paper is concerned with the existence and nonexistence of positive solution of the second-order nonlinear dynamic equation on time scales

where T is a time scale, ฮฑ โ‰ฅ 0, ฮณ โ‰ฅ 0, ฮฒ > 0, ฮด > 0 with ฮฑ + ฮณ > 0. The arguments are based upon fixed point theorems in a cone.


๐Ÿ“œ SIMILAR VOLUMES


Positive solutions of nonlinear -point b
โœ N. Aykut Hamal; Fulya Yoruk ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 650 KB

In this paper, by using fixed point theorems in a cone and the associated Green's function, we study the existence of at least two and three positive solutions to the m-point boundary value problem (BVP) on time scales,

Multiple positive solutions for nonlinea
โœ ฤฐsmail Yaslan ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 236 KB

In this paper, we consider the nonlinear second-order three-point boundary value problem where T is a time scale, 0 โ‰ค t 1 < t 2 < t 3 , ฮฑ > 0 and ฮฒ โ‰ฅ 0 are given constants. By using fixed-point theorems in cones, some new results are obtained for the existence of at least one,two and three positive

Positive Solutions of Two-point right fo
โœ K.L. Boey; Patricia J.Y. Wong ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 956 KB

We consider the following boundary value problem, where n \_> 2, 1 \_< p \_< n-1 is fixed and T is a time scale. Criteria for the existence of single, double, and multiple positive solutions of the boundary value problem are developed. Upper and lower bounds for these positive solutions are establi