Vrábel’, Róbert Quasilinear and quadratic singularly perturbed Neumann’s problem. (English) Zbl 0937.34023 Math. Bohem. 123, No. 4, 405-410 (1998). Boundary conditions of the form \(y'(a,\varepsilon)=0, y'(b,\varepsilon)=0\) are considered along with singularly perturbed equations of the form \(\varepsilon y''=F(t,y,y')\) on \((a,b)\). Existence and asymptotic behaviour of solutions are studied in the case when \[ F(t,y,y')=f(t,y)y'+g(t,y)\quad \text{or}\quad F(t,y,y')=f(t,y)y'{}^2+g(t,y). \] Reviewer: Š.Schwabik (Praha) MSC: 34B20 Weyl theory and its generalizations for ordinary differential equations 34E15 Singular perturbations, general theory for ordinary differential equations Keywords:singular perturbation; Neumann problem PDF BibTeX XML Cite \textit{R. Vrábel'}, Math. Bohem. 123, No. 4, 405--410 (1998; Zbl 0937.34023) Full Text: EuDML