On the Existence of Three Solutions for Some Classes of Two-Point Semi-linear and Quasi-linear Differential Equations
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A general theorem concerning the three critical points for some classes of coercive functionals depending on a real parameter is established, which may derive existence’s results of three solutions with various sufficient conditions for some classes of two-point semi-linear boundary value problems. Moreover, by applying known three existence theorems, we derive multiple existence results for a class of quasi-linear differential equation.
KeywordsCritical points Three solutions Two-point boundary value problem Eigenvalue problem
Mathematics Subject Classification34B09 58E05