O’Regan, Dónal Boundary value problems for second and higher order differential equations. (English) Zbl 0742.34023 Proc. Am. Math. Soc. 113, No. 3, 761-775 (1991). The nonlinear alternative of Leray-Schauder and a priori bounds technique are used to obtain existence results on classical solutions for some second and fourth order boundary value problems. The results improve, extend and complement the existing theory. Reviewer: R.Precup (Cluj-Napoca) Cited in 7 Documents MSC: 34B15 Nonlinear boundary value problems for ordinary differential equations Keywords:nonlinear alternative of Leray-Schauder; a priori bounds technique; second and fourth order boundary value problems PDFBibTeX XMLCite \textit{D. O'Regan}, Proc. Am. Math. Soc. 113, No. 3, 761--775 (1991; Zbl 0742.34023) Full Text: DOI