In analysing nonlinear phenomena many mathematical models give rise to problems for
which only nonnegative solutions make sense. In the last few years this discipline has grown …

. The theory of difference equations, the methods used in their solutions and their wide
applications have advanced beyond their adolescent stage to occupy a central position in …

The topic of singular boundary value problems has been of substantial and rapidly growing
interest for many scientists and engineers. This book is devoted to singular boundary value …

For 1⩽ k⩽ n− 1, solutions are obtained for the boundary value problem,(− 1) n− ky (n)= f (x,
y), y (i)(0)= 0, 0⩽ i⩽ k− 1, andy (j)(1)= 0, 0⩽ j⩽ n− k− 1, wheref (x, y) is singular aty= 0. An …

In this text we investigate solvability of various nonlinear singular boundary value problems
for ordinary differential equations on the compact interval [0, T]. The nonlinearities in …

We consider the following boundary value problemwhere λ> 0 and 1≤ p≤ n–1 is fixed. The
values of λ are characterized so that the boundary value problem has a positive solution …

Sufficient conditions for the existence of positive solutions of the nonlinear m-Laplacian
boundary value problem are constructed, where m≥ 2 and f:[0, 1)×(0,∞)→(0,∞) satisfying f …

We consider the following boundary value problem:[formula][formula] where 1≤ p≤ n− 1 is
fixed. Using a fixed point theorem for operators on a cone, we develop criteria for the …

Existence of Positive Solutions for Higher Order Difference Equations Page 1 Pergamon
Appl. Math. Lett. Vol. 10, No. 5, pp. 67-74, 1997 Copyright(~1997 Elsevier Science Ltd …

We consider the following boundary value problem:[Formula: see text] where 1≤ p≤ n− 1 is
fixed and λ> 0. A characterization of the values of λ is carried out so that the boundary value …