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Keywords
(7)
Difference Equation
Energy Function
Hilbert Space
Numerical Experiment
Traveling Wave Solution
Variational Approach
Second Order
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Decreasing and fast solutions for a secondorder difference equation related to Fisher–Kolmogorov's equation
Decreasing and fast solutions for a secondorder difference equation related to Fisher–Kolmogorov's equation,10.1016/j.jmaa.2009.08.009,Journal of Mat
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Decreasing and fast solutions for a secondorder difference equation related to Fisher–Kolmogorov's equation
(
Citations: 2
)
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Meline Aprahamian
,
Diko Souroujon
,
Stepan Tersian
We prove the existence of socalled fast solutions of a secondorder
difference equation
related to
traveling wave
solutions of Fisher–Kolmogorov's equation.
Variational approach
is used and the fast solutions are obtained as minimizers of an energy functional on a weighted Hilbert space. Numerical experiments are presented.
Journal:
Journal of Mathematical Analysis and Applications  J MATH ANAL APPL
, vol. 363, no. 1, pp. 97110, 2010
DOI:
10.1016/j.jmaa.2009.08.009
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References
(10)
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(
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Ravi P. Agarwal
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,
Donal O'Regan
Journal:
Nonlinear Analysistheory Methods & Applications  NONLINEAR ANALTHEOR METH APP
, vol. 58, no. 1, pp. 6973, 2004
Fast and heteroclinic solutions for a second order ODE related to FisherKolmogorov’s equation
(
Citations: 6
)
M. Arias
,
J. Campos
,
A. M. RoblesPérez
,
L. Sanchez
Journal:
Calculus of Variations and Partial Differential Equations  CALC VAR PARTIAL DIFFER EQUAT
, vol. 21, no. 3, pp. 319334, 2004
Nonlinearity and Functional Analysis
(
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Multiple solutions for discrete boundary value problems
(
Citations: 17
)
Alberto Cabada
,
Antonio Iannizzotto
,
Stepan Tersian
Journal:
Journal of Mathematical Analysis and Applications  J MATH ANAL APPL
, vol. 356, no. 2, pp. 418428, 2009
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Citations
(2)
Global asymptotic stability of equilibrium point for a family of rational difference equations
Changyou Wang
,
Shu Wang
,
Wei Wang
Journal:
Applied Mathematics Letters
, vol. 24, no. 5, pp. 714718, 2011
Positive Decreasing Solutions of HigherOrder Nonlinear Difference Equations
B. Krasznai
,
I. Győri
,
M. Pituk
Journal:
Advances in Difference Equations  ADV DIFFER EQU
, vol. 2010, pp. 117, 2010