Multiple positive solutions of nonlinear $m$-point dynamic equations for $p$-Laplacian on time scales | Zendy

Abdulkadir Dogan | Zendy

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Multiple positive solutions of nonlinear $m$-point dynamic equations for $p$-Laplacian on time scales

Author(s) -

Abdulkadir Dogan

Publication year - 2016

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1503-23

Subject(s) - nabla symbol , mathematics , nonlinear system , p laplacian , fixed point theorem , dynamic equation , order (exchange) , mathematical analysis , laplace operator , pure mathematics , point (geometry) , mathematical physics , omega , physics , geometry , quantum mechanics , boundary value problem , finance , economics

In this paper, we study the existence of positive solutions of a nonlinear m -point p -Laplacian dynamic equation (φp(x (t))) + w(t)f(t, x(t), x(t)) = 0, t1 < t < tm, subject to one of the following boundary conditions

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