Existence of solution and positive solution of BVP for nonlinear third-order dynamic equation
β Scribed by Jian-Ping Sun
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 117 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
In this paper we are concerned with the following third-order two-point boundary value problem on time scale T
Some existence criteria of solution and positive solution are established by using Leray-Schauder fixed point theorem and our main conditions are local. An example is also included to illustrate the importance of the results obtained.
π SIMILAR VOLUMES
Under some suitable assumptions, we show that the n + 2 order non-linear boundary value problems (BVP 1 ) ο£±
This paper is concerned with boundary value problems for systems of nonlinear thirdorder three-point differential equations. Using fixed-point theorems, the existence of positive solutions is obtained.
In this paper, by using fixed-point theorems in cones, the existence of multiple positive solutions is considered for singular nonlinear boundary value problem for the following third-order p-Laplacian dynamic equations on time scales In particular, the conditions we used in the paper are different
We shall provide conditions on non-positive function f(t, uj .... ,u,-1) so that the boundary value problem (BVP) for t E (0, 1) and n ~>2, ## ~u~-2~(0) -flu~"-~(O) = O, ?u("-2)(1) + 6u ~n l)(1) = 0, has at least one positive solution. Then, we shall apply this result to establish several existe