Monotone Positive Solution of Nonlinear Third-Order BVP with Integral Boundary Conditions

oleh: Sun Jian-Ping, Li Hai-Bao

Format: Article
Diterbitkan: SpringerOpen 2010-01-01

Deskripsi

<p/> <p>This paper is concerned with the following third-order boundary value problem with integral boundary conditions <inline-formula> <graphic file="1687-2770-2010-874959-i1.gif"/></inline-formula><inline-formula> <graphic file="1687-2770-2010-874959-i2.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2010-874959-i3.gif"/></inline-formula> and <inline-formula> <graphic file="1687-2770-2010-874959-i4.gif"/></inline-formula>. By using the Guo-Krasnoselskii fixed-point theorem, some sufficient conditions are obtained for the existence and nonexistence of monotone positive solution to the above problem.</p>