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《Guizhou Science》 2002-01
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Anti-periodic solutions for a class of strongly nonlinear evolution equations in Banach spaces

WEI Wei 1,Pairote Sattayatham 2(1. Depatment of Mathematics, Guizhou University, Guiyang, Guizhou 550025, China; 2. School of Mathematics, Suranaree University of Technology, Thailand)  
In the paper, the existence of anti-periodic solutions of nonlinear evolution equations in Banach spaces is considered. By using the theory of monotone operators and fixed point theory, we get the existence results for a class of nonlinear evolution equations containing a nonlinear monotone operator and a nonmonotone perturbation. An example of existence of antiperiodic solutions for 2m-order quasi-linear parabolic differential equation is presented.
【Fund】: 贵州大学科研基金资助项目
【CateGory Index】: O177;O175.25
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