Solvability of nonlocal boundary value problems for ordinary differential equation of higher order with a -Laplacian
โ Scribed by Huihui Pang; Weigao Ge; Min Tian
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 301 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
Nonlocal boundary value problems at resonance for a higher order nonlinear differential equation with a p-Laplacian are considered in this paper. By using a new continuation theorem, some existence results are obtained for such boundary value problems. An explicit example is also given in this paper to illustrate the main results.
๐ SIMILAR VOLUMES
This paper is concerned with the existence of solutions for the following nth-order multipoint boundary value problems at resonance case x(")(t)=r(t,~(t),~'(t) ..... :~(n-~) (t)) + e (t), te (0,1), m--2 (o) = ~' (o) ..... ~(,,-2) (o1 = o, ~ (i) = ~ ~j~ (,j), j=l and x (~) (t) = f (t,x (t),x' (t) ...
In this paper, we give existence and uniqueness results for solutions of nonlocal bound-a~y vector value problems of the form where n >\_ 2, f : Lebesgue measurable N1 x Nl-matrix function and it satisfies g(0) = 0, the integral is in sense of Riemann-Stieltjes. The existence of a solutions is pro