-total stability and almost periodicity for some partial functional differential equations with infinite delay.
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Elazzouzi, Abdelhai, Ezzinbi, Khalil (2005)
Journal of Applied Mathematics and Stochastic Analysis
Ayoub, N., Alzoubi, F., Khateeb, H., Al-Qadi, M., Hasan (Qaseer), M., Albiss, B., Rousan, A. (2006)
Fractional Calculus and Applied Analysis
Mathematics Subject Classification: 26A33, 30B10, 33B15, 44A10, 47N70, 94C05We suggest a fractional differential equation that combines the simple harmonic oscillations of an LC circuit with the discharging of an RC circuit. A series solution is obtained for the suggested fractional differential equation. When the fractional order α = 0, we get the solution for the RC circuit, and when α = 1, we get the solution for the LC circuit. For arbitrary α we get a general solution which shows how the...
Rafael de la Llave, Enrico Valdinoci (2009)
Annales de l'I.H.P. Analyse non linéaire
Valter Šeda (1987)
Archivum Mathematicum
Poorkarimi, Hushang, Wiener, Joseph (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Nee, Janpou (1994)
Journal of Applied Mathematics and Stochastic Analysis
Zhang, Shilin, Piao, Daxiong (2009)
Boundary Value Problems [electronic only]
Aulbach, Bernd, Nguyen Van Minh (1998)
Abstract and Applied Analysis
Hernandez M., Eduardo, Dos Santos, José Paulo C. (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Marchi, Claudio (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Anastasia Maltseva, Volker Reitmann (2015)
Mathematica Bohemica
We consider parameter-dependent cocycles generated by nonautonomous difference equations. One of them is a discrete-time cardiac conduction model. For this system with a control variable a cocycle formulation is presented. We state a theorem about upper Hausdorff dimension estimates for cocycle attractors which includes some regulating function. We also consider the existence of invariant measures for cocycle systems using some elements of Perron-Frobenius theory and discuss the bifurcation of parameter-dependent...
Eduard Feireisl (1990)
Czechoslovak Mathematical Journal
Giuliano Bratti (1972)
Rendiconti del Seminario Matematico della Università di Padova
J. Bourgain (1996)
Geometric and functional analysis
Bokalo, Mykola (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Detlef Müller, Marco M. Peloso, Fulvio Ricci (2006)
Collectanea Mathematica
Y. Meyer (1971/1972)
Séminaire Équations aux dérivées partielles (Polytechnique)
Gadam, Sudhasree, Iaia, Joseph A. (2001)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Diagana, Toka (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Diagana, Toka (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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