Abstract
The paper deals with the existence of three-solutions for the second-order differential equations with nonlinear boundary value conditions
where f:[a,b] × R 1 × R 1 → R 1, g i :R 1 × R 1 → R 1 (i=1,2) are continuous functions. The methods employed are the coincidence degree theory. As an application, the sufficient conditions under which there are arbitrary odd solutions for the BVP are obtained.
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Supported by the Postdoctor Science Foundation of China (200114).
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Liu, B. Existence of three-solutions for second-order differential equations with nonlinear boundary value conditions. Appl. Math. Chin. Univ. 17, 135–144 (2002). https://doi.org/10.1007/s11766-002-0037-3
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DOI: https://doi.org/10.1007/s11766-002-0037-3