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On the Existence of Three Solutions for Some Classes of Two-Point Semi-linear and Quasi-linear Differential Equations

  • Somayeh SaiedinezhadEmail author
Original Paper
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Abstract

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.

Keywords

Critical points Three solutions Two-point boundary value problem Eigenvalue problem 

Mathematics Subject Classification

34B09 58E05 
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Notes

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Copyright information

© Iranian Mathematical Society 2019

Authors and Affiliations

  1. 1.School of MathematicsIran University of Science and TechnologyTehranIran

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