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SOLVABILITY OF A THREE-POINT BOUNDARY VALUE PROBLEM WITH NONLINEAR GROWTH |
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| Authors: | Jing Xiao Zhiguo Luo Dept of Math Hunan Normal University Changsha |
| Institution: | Jing Xiao,Zhiguo Luo Dept. of Math.,Hunan Normal University,Changsha 410081 |
| Abstract: | 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. |
| Keywords: | three-point boundary value problem equation with nonlinear growth Leray-Schauder continuation theorem coincidence degree theory |
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