Existence for Two-Point <i>n</i>th Order Boundary Value Problems under Barrier Strips
Ravi P. Agarwal,
Todor Z. Todorov,
Petio S. Kelevedjiev
Affiliations
Ravi P. Agarwal
Department of Mathematics, Texas A and M University, Kingsville, TX 78363, USA
Todor Z. Todorov
Department of Electrical Engineering, Electronics and Automation, Faculty of Engineering and Pedagogy of Sliven, Technical University of Sofia, 8800 Sliven, Bulgaria
Petio S. Kelevedjiev
Department of Qualification and Professional Development of Teachers of Sliven, Technical University of Sofia, 8800 Sliven, Bulgaria
Using barrier strip conditions, we study the solvability of two-point boundary value problems for the equation x(n)=f(t,x,x′,…,x(n−1)). In the case n=4, we apply the used approach to obtain results guaranteeing positive or non-negative, monotone, convex solutions to boundary value problems with various boundary conditions.
