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Existence of Solutions for a One Dimensional p-Laplacian on Time-Scales
 

Summary: Existence of Solutions for a One Dimensional
p-Laplacian on Time-Scales
DOUGLAS ANDERSONa,*, RICHARD AVERYb,
and JOHNNY HENDERSONc,
a
Department of Mathematics, Concordia College, Moorhead, MN 56562, USA;
b
College of Natural Sciences, Dakota State University, Madison, SD 57042, USA;
c
Department of Mathematics, Baylor University, Waco, TX 76798, USA
(Received 10 February 2003; Revised 19 January 2004; In final form 22 March 2004)
We prove the existence of at least one positive solution to the time-scale, deltanabla dynamic equation, guD
7

ct fu 0; with boundary conditions, ua 2 B0uD
n 0 and uD
b 0: Here, gz jzjp22
z for p . 1;
n [ (a,b), f and c are left-dense continuous and B0 is a function "bounded" by two linear rays.
Keywords: Fixed-point theorems; Deltanabla dynamic equation; One-dimensional p-Laplacian; Multiple

  

Source: Anderson, Douglas R. - Department of Mathematics and Computer Science, Concordia College

 

Collections: Mathematics