Asymptotic Behavior for Retarded Parabolic Equations with Superlinear Perturbations

T. D. Ke () and N. C. Wong ()
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T. D. Ke: Hanoi National University of Education
N. C. Wong: National Sun Yat-sen University

Journal of Optimization Theory and Applications, 2010, vol. 146, issue 1, No 8, 117-135

Abstract: Abstract We obtain the existence and uniqueness of solutions for a class of retarded parabolic equations with superlinear perturbations. The asymptotic behavior result is studied by using the pullback attractor framework.

Keywords: Retarded equations; Semilinear parabolic equations; Superlinear perturbations; Nonautonomous systems; Pullback attractors (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s10957-010-9665-6

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