Boundary value problems of a class of quasilinear ordinary differential equations. (English) Zbl 0784.34018

Guo, Zongming

Differ. Integral Equ. 6, No. 3, 705-719 (1993).

Using the generalized degree theory, the author establishes the existence of \(C^ 1\)-solutions for periodic and Neumann boundary value problems of a class of quasilinear ordinary differential equations of the second order.

Reviewer: A.Burmistrova (Chelyabinsk)

MSC:

34B15	Nonlinear boundary value problems for ordinary differential equations
47J05	Equations involving nonlinear operators (general)
47H11	Degree theory for nonlinear operators

Keywords:

generalized degree theory; periodic and Neumann boundary value problems; quasilinear ordinary differential equations of the second order