[1] Mcabe P M, Leach J A, Needham D J. The evolution of travelling waves in fractional order autocatalysis with decay. I. Permanent form travelling waves. SIAM J Appl Math, 1998, 59:870-899
[2] Murray J D. Mathematical Biology. Berlin:Springer-Verlag, 1993
[3] Fisher R A. The wave of advance of advantageous genes. Ann Eugenics, 1937, 7}:353-369
[4] Aronson D G, Weinberger H F. Nonlinear diffusion in population genetics, commbustion, and nerve propagation//Goldstein J A. Partial Differential Equations and Related Topics. New York:Springer, 1975, 446}:5-49
[5] Arias M, Campos J, Robles-Peres A M, Sanchez L. Fast and heteroclinic solutions for a second order ODE related to Fisher-Kolmogorov's equation. Calc Var Partial Differential Equations, 2004, 21}:319-334
[6] Malaguti L, Marcelli C. Travelling wavefronts in reaction-diffusion equations with convection effects and non-regular terms. Math Nachr, 2002, 242}:148-164
[7] Sanchez L. A note on a nonautonomous ODE related to Fisher equation. J Comput Appl Math, 2000, 113:201-209
[8] Kolmogorov A N, Petrovsky I G, Piskunov N S. Étude de l équation de la diffusion avec croissancede la quantité de matiére et son application á un probléme biologique. Sér Internationale A:Bull Univ d'État á Moscou, 1937, 1}:1-26
[9] Aprahamian M, Souroujon D, Tersian S. Decreasing and fast solutions for a second-order difference equation related to Fisher-Kolmogorov's equation. J Math Anal Appl, 2010, 363:97-110
[10] Agarwal R P, Perera K, O'Regan D. Multiple positive solutions of singular and nonsingular discrete problems via variational methods. Nonlinear Anal, 2004, 58:69-73
[11] Cai X, Yu J. Existence theorems for second-order discrete boundary value problems. J Math Anal Appl, 2006, 320}:649-661
[12] Cabada A, Iannizzotto A, Tersian S. Multiple solutions for discrete boundary value problems. J Math Anal Appl, 2009, 356}:418-428
[13] Berger M. Nonlinearity and Functional Analysis. New York:Academic Press, 1977 |