Existence and uniqueness of positive solutions for some singular boundary value problems with linear functional boundary conditions |
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| Authors: | Zeng Qin Zhao Fu Shan Li |
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| Institution: | School of Mathematical Sciences, Qufu Normal University, Qufu 273165, P. R. China |
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| Abstract: | By using the upper and lower solution method and fixed point theory, we investigate some nonlinear singular second-order differential
equations with linear functional boundary conditions. The nonlinear term f(t, u) is nonincreasing with respect to u, and only possesses some integrability. We obtain the existence and uniqueness of the C0,1] positive solutions as well as the C
10, 1] positive solutions. |
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| Keywords: | Linear functional boundary condition decreasing function positive solution upper and lower solution method fixed point theorem |
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