Wirtinger inequality and nonlinear differential systems

Jaroslav JaroŇ°

Address: Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University, 842 48 Bratislava, Slovakia

E-mail: jaros@fmph.uniba.sk

Abstract: Picone identity for a class of nonlinear differential equations is established and various qualitative results (such as Wirtinger-type inequality and the existence of zeros of first components of solutions) are obtained with the help of this new formula.

AMSclassification: primary 34C10.

Keywords: nonlinear differential system, Picone identity, Wirtinger inequality.

DOI: 10.5817/AM2013-1-35