Method of lower and upper solutions for a generalized boundary value problem

Boris Rudolf

Address. Dept. of Math., Faculty of Electrical Engineering and Information Technology SUT, Ilkovicova 3, 812 19 Bratislava,                Slovakia


Abstract. A method of lower and upper solutions is used to prove the existence of a solution of a boundary value problem with generalized boundary conditions given by continuous linear functionals. The cases of Dirichlet, Neumann, multipoint and integral conditions are covered.

AMSclassification. 34B10, 34B15

Keywords. Multiplicity result, lower and upper solutions, coincidence degree