EXISTENCE OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR THE EQUATION $f(t,x,x',x'') = 0$ WITH FULLY NONLINEAR BOUNDARY CONDITIONS

Authors

  • Petio Kelevedjiev
  • Nedyu Popivanov

Keywords:

barrier strips, boundary value problem, existence, nonlinear boundary conditions

Abstract

Existence results for two-point boundary value problems are established, the equation is not solved with respect to the high derivate, and the boundary conditions are nonlinear and full. The proofs are based on a variant of a basic theorem of Granas, Guenther and Lee. The a priori bounds needed for its application are obtained by the barrier strips technique.

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Published

2002-12-12

Issue

Vol. 94 (2002): Ann. Sofia Univ. Fac. Math and Inf.

Section

Articles

How to Cite

EXISTENCE OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR THE EQUATION $f(t,x,x’,x’’) = 0$ WITH FULLY NONLINEAR BOUNDARY CONDITIONS. (2002). Annual of Sofia University St. Kliment Ohridski. Faculty of Mathematics and Informatics, 94, 55-70. https://annual.uni-sofia.bg/index.php/fmi/article/view/190