Existence of Nontrivial Solutions and Sign-Changing Solutions for Nonlinear Dynamic Equations on Time Scales | Zendy

Huiye Xu | Zendy

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Existence of Nontrivial Solutions and Sign-Changing Solutions for Nonlinear Dynamic Equations on Time Scales

Author(s) -

Huiye Xu

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/604170

Subject(s) - fixed point index , sign (mathematics) , mathematics , cone (formal languages) , nonlinear system , operator (biology) , boundary value problem , fixed point , class (philosophy) , mathematical analysis , fixed point theorem , degree (music) , dynamic equation , value (mathematics) , boundary (topology) , computer science , physics , biochemistry , chemistry , statistics , algorithm , quantum mechanics , repressor , artificial intelligence , transcription factor , acoustics , gene

By using the topological degree theory and the fixed point index theory, the existence of nontrivial solutions and sign-changing solutions for a class of boundary value problem on time scales is obtained. We should point out that the integral operator corresponding to above boundary value problem is not assumed to be a cone mapping

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