Strictly Increasing Solutions of Nonautonomous Difference Equations Arising in Hydrodynamics
The paper provides conditions sufficient for the existence of strictly increasing solutions of the second-order nonautonomous difference equation x(n+1)=x(n)+(n/(n+1))2(x(n)-x(n-1)+h2f(x(n))), n∈N, where h>0 is a parameter and f is Lipschitz continuous and has three real zero...
Main Authors: | Lukáš Rachůnek, Irena Rachůnková |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2010-01-01
|
Series: | Advances in Difference Equations |
Online Access: | http://dx.doi.org/10.1155/2010/714891 |
Similar Items
-
Strictly Increasing Solutions of Nonautonomous Difference Equations Arising in Hydrodynamics
by: Rachůnek Lukáš, et al.
Published: (2010-01-01) -
Oscillatory Solutions of Singular Equations Arising in Hydrodynamics
by: Jakub Stryja, et al.
Published: (2010-01-01) -
Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations
by: Irena Rachůnková, et al.
Published: (2009-01-01) -
Oscillatory Solutions of Singular Equations Arising in Hydrodynamics
by: Stryja Jakub, et al.
Published: (2010-01-01) -
Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations
by: Rachůnková Irena, et al.
Published: (2009-01-01)