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Multiplicity of solutions for a class of non-homogeneous fourth-order boundary value problems. (English) Zbl 1169.34317

Fixed point theorem of cone expansion/compression is used to prove the existence of positive solutions of a fourth order two-point boundary value problem. As an application to the result obtained, the existence of solutions to semilinear elliptic systems in bounded annular domains is established.

MSC:

34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
35J55 Systems of elliptic equations, boundary value problems (MSC2000)
47N20 Applications of operator theory to differential and integral equations
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References:

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