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Several Existence Theorems of Nonlinear m-Point BVP for an Increasing Homeomorphism and Homomorphism on Time Scales.
- Source :
- Discrete Dynamics in Nature & Society; 2008, p1-13, 13p
- Publication Year :
- 2008
-
Abstract
- This article claims to have established several existence theorems of positive solutions for nonlinear m-point boundary value problem for several dynamic equations on time scales. These equations include (φ(u<superscript>&Delta</superscript>))<superscript>&nabla</superscript> + α(t) f (t, u(t)) = 0, t ... (0,T), φ(u<superscript>Δ</superscript>(0)) = Σ <subscript>i=1</subscript><superscript>m-2</superscript> α<subscript>i</subscript>φ(uΔ(...<subscript>i</subscript>, u(T) = Σ<subscript>i=1</subscript><superscript>m-2</superscript>b<subscript>i</subscript>u(...<subscript>i</subscript>, where φ : R &rar; R is an increasing homoemorphism and homomorphism and φ(0) = 0. It provides example calcalations using these equations.
Details
- Language :
- English
- ISSN :
- 10260226
- Database :
- Complementary Index
- Journal :
- Discrete Dynamics in Nature & Society
- Publication Type :
- Academic Journal
- Accession number :
- 36126643
- Full Text :
- https://doi.org/10.1155/2008/252876