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Existence of solutions for nonlinear BVPs of second-order differential equations on measure chains

✍ Scribed by Wei-Cheng Lian; Chin-Chen Chou; Chieh-Ting Liu; Fu-Hsiang Wong

Book ID
104350975
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
855 KB
Volume
34
Category
Article
ISSN
0895-7177

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✦ Synopsis

under suitable conditions on f(t? u), the boundary value problem uaa(t) + pf(t, uO(t)) = 0, in [a,b], (E) 1 au(a) -puA(a) = 0, yu(cr(b)) + 6uA(0(6)) = 0, (BC) (BW has at least one solution.

Moreover, we also apply this main result to establish several existence theorems of multiple solutions for some nonlinear differential equations on measure chain.

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Existence for positive solutions of seco
Existence for positive solutions of second-order neutral nonlinear differential equations
✍ I. CulΓ‘kovΓ‘; L’. HanuΕ‘tiakovΓ‘; Rudolf Olach πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 321 KB

We consider the nonlinear neutral differential equations. This work contains some sufficient conditions for the existence of a positive solution which is bounded with exponential functions. The case when the solution converges to zero is also treated.