Asymptotic behavior of solutions to differential equations with p(t)p(t)-Laplacian
Abstract
This paper deals with the second-order nonlinear differential equation (a(t)|x′|p(t)−2x′)′=b(t)|x|q(t)−2x involving p(t)-Laplacian. The existence and the uniqueness of nonoscillatory solutions of this equation in certain classes, which are related with integral conditions, are studied. Moreover, a minimal set for solutions of this equation is introduced as an extension of the concept of principal solutions for linear equations. Obtained results extend the results for equations with p-Laplacian.
Remember to check out the Most Cited Articles! |
---|
Be inspired by these NEW Mathematics books for inspirations & latest information in your research area! |