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Monotone Positive Solution of Nonlinear Third-Order BVP with Integral Boundary Conditions
oleh: Sun Jian-Ping, Li Hai-Bao
Format: | Article |
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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>