Multiple solutions for 2mth order sturm—lioville boundary value problems on a measure chain

On , Where T is a measure chain, growth conditions are imposed on f such that the boundary value problem, has an arbitrary number of positive solutions

[1]  E. Kaufmann Multiple Positive Solutions for Higher Order Boundary Value Problems , 1998 .

[2]  Haiyan Wang,et al.  On the existence of positive solutions of ordinary differential equations , 1994 .

[3]  D. O’Regan,et al.  Hammerstein Integral Equations , 1999 .

[4]  Cheh-Chih Yeh,et al.  ON THE EXISTENCE OF POSITIVE SOLUTIONS OF NONLINEAR SECOND ORDER DIFFERENTIAL EQUATIONS , 1996 .

[5]  R. Leggett,et al.  Multiple positive fixed points of nonlinear operators on ordered Banach spaces , 1979 .

[6]  Shouchuan Hu,et al.  Multiple Positive Solutions of Some Boundary Value Problems , 1994 .

[7]  Ping Zhang,et al.  On the hydrodynamic limit of Ginzburg-Landau vortices , 1999 .

[8]  S. Hilger Analysis on Measure Chains — A Unified Approach to Continuous and Discrete Calculus , 1990 .

[9]  Haiyan Wang,et al.  On the existence of positive solutions for semilinear elliptic equations in the annulus , 1994 .

[10]  John M. Davis,et al.  Multiplicity of Positive Solutions for Higher Order Sturm-Liouville Problems , 2001 .

[11]  Ferhan Merdivenci,et al.  Two positive solutions of a boundary value problem for difference equations , 1995 .

[12]  Johnny Henderson,et al.  Multiple solutions for 2mth-order Sturm-Liouville boundary value problems , 2000 .

[13]  B. Aulbach,et al.  Linear Dynamic Processes with Inhomogeneous Time Scale , 1990, Nonlinear Dynamics and Quantum Dynamical Systems.

[14]  V. Lakshmikantham,et al.  Dynamic systems on measure chains , 1996 .

[15]  R. Agarwal,et al.  Basic Calculus on Time Scales and some of its Applications , 1999 .

[16]  Leo F. Boron,et al.  Positive solutions of operator equations , 1964 .

[17]  D. Anderson Positivity of green's function for an n-point right focal boundary value problem on measure chains , 2000 .

[18]  A. Peterson,et al.  Eigenvalue conditions and positive solutions , 2000 .

[19]  D. O’Regan,et al.  Positive Solutions of Differential, Difference and Integral Equations , 1998 .

[20]  A. Peterson,et al.  Green's Functions and Comparison Theorems for Dierential Equations on Measure Chains , 1999 .