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SOLVABILITY OF NONLINEAR ORDINARY DIFFERENTIAL EQUATION WHEN ITS ASSOCIATED LINEAR EQUATION HAS NO NONTRIVIAL OR SIGN-CHANGING SOLUTION
Zhi-Qing Han
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Source: Crossref
Published: Sep 1, 2004
DOI: 10.11650/twjm/1500407670
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In this paper we investigate the existence of nontrivial solutions of a two-point boundary value problem. Under the condition that the associated linear boundary value problem has no nontrivial solutions or no sign-changing solutions and some other additional conditions, we prove some existence theorems of (nontrivial) solutions.
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