摘要
In this paper, a new existence theorem of anti-periodic solutions for a class ofstrongly nonlinear evolution equations in Banach spaces is presented. The equations contain nonlinear monotone operators and a nonmonotone perturbation. Moreover, throughan appropriate transformation, the existence of anti-periodic solutions for a class of secondorder nonlinear evolution equations is verified. Our abstract results are illustrated by anexample from quasi-linear partial differential equations with time anti-periodic conditionsand an example from quasi-linear anti-periodic hyperbolic differential equations.
In this paper, a new existence theorem of anti-periodic solutions for a classof strongly nonlinear evolution equations in Banach spaces is presented. The equations containnonlinear monotone operators and a nonmonotone perturbation. Moreover, through an appropriatetransformation, the existence of anti-periodic solutions for a class of second-order nonlinearevolution equations is verified. Our abstract results are illustrated by an example fromquasi-linear partial differential equations with time anti-periodic conditions and an example fromquasi-linear anti-periodic hyperbolic differential equations.
基金
This research is supported by the Science and Technology Committee of Guizhou Province,China(20023002)
