QUASILINEAR AND QUADRATIC SINGULARLY PERTURBED PERIODIC BOUNDARY VALUE PROBLEM

Robert Vrabel

Address. Faculty of Materials Science and Technology, Department of Mathematics, Paul¡nska 16, 917 24 Trnava, SLOVAK REPUBLIC

E-mail: vrabel@sun.mtf.stuba.sk

Abstract. The problem of existence and asymptotic behavior of solutions of the quasilinear and quadratic singularly perturbed periodic boundary value problem as a small parameter at highest derivative tends to zero is studied.

AMSclassification. 34D15

Keywords. Singularly perturbed periodic boundary value problem