Symmetric positive solutions of fourth order integral BVP for an increasing homeomorphism and homomorphism with sign-changing nonlinearity on time scales
نویسندگان
چکیده
In this paper, we consider the eigenvalue problems for fourth order integral boundary value problems on time scales for an increasing homeomorphism and homomorphism with sign changing nonlinearities. By using a fixed point index theorem, we give the existence of eigenvalue intervals in which there exist one symmetric positive solution to the problem. An example is also given to demonstrate the main results.
منابع مشابه
Positive solutions of nonlinear third-orderm-point BVP for an increasing homeomorphism and homomorphism with sign-changing nonlinearity
i=1 aiφ(u′′(ξi)), u(0) = 0, u(1) = m−2 ∑ i=1 biu(ξi), where φ : R −→ R is an increasing homeomorphism and homomorphism and φ(0) = 0. The nonlinear term f may change sign. As an application, an example to demonstrate our results is given. © 2008 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Computers & Mathematics with Applications
دوره 59 شماره
صفحات -
تاریخ انتشار 2010