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Existence of multiple positive solutions for second order nonlinear dynamic BVPs by variational methods |
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| Authors: | Ravi P Agarwal Victoria Otero-Espinar Kanishka Perera |
| Institution: | a Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA b Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Galicia, Spain |
| Abstract: | The aim of this paper is to employ variational techniques and critical point theory to prove some sufficient conditions for the existence of multiple positive solutions to a nonlinear second order dynamic equation with homogeneous Dirichlet boundary conditions. |
| Keywords: | Dynamic boundary value problem Multiple positive solutions Variational methods Critical point theory |
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