SOLVABILITY OF A THREE-POINT BOUNDARY VALUE PROBLEM WITH NONLINEAR GROWTH

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Jing Xiao Zhiguo Luo Dept of Math Hunan Normal University Changsha [410081 ]
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In this paper, we study the existence of solutions to a three-point boundary value problem with nonlinear growth. Sufficient conditions for the existence of solutions to the system in the resonance and non-resonance cases are established by employing Leray-Schauder continuation theorem and the coincidence degree theory.
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