Excitability of a second-order delay differential equation

Nonlinear Analysis, Theory, Methods and Applications

Volumn 38, Issue 1, 1999, Pages 1-11

  Wiener, Joseph ^a   Lakshmikantham, V ^b  

^a UNIVERSITY OF TEXAS PAN AMERICAN   (United States)

^b FLORIDA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; FUNCTIONS; MATHEMATICAL MODELS; PROBLEM SOLVING; THEOREM PROVING;

PIECEWISE CONSTANT ARGUMENT;

NUMERICAL ANALYSIS;

EID: 0033212658     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00245-4     Document Type: Article

References (8)

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2. A.R. Aftabizadeh, J. Wiener, J.-M. Xu, Oscillatory and periodic solutions of delay differential equations with piecewise constant argument, Proc. Amer. Math. Soc. 99 (1987) 673-679.
3. K.L. Cooke, J. Wiener, Retarded differential equations with piecewise constant delays, J. Math. Anal. Appl. 99 (1984) 265-297.
4. K.L. Cooke, J. Wiener, An equation alternately of retarded and advanced type, Proc. Amer. Math. Soc. 99 (1987) 726-732.
5. J. Wiener, K.L. Cooke, Oscillations in systems of differential equations with piecewise constant argument, J. Math. Anal. Appl. 137 (1989) 221-239.
6. J. Wiener, Generalized Solutions of Functional Differential Equations, World Scientific, Singapore, 1993.
7. J. Wiener, L. Debnath, A survey of partial differential equations with piecewise continuous arguments, Int. J. Math. Math. Sci. 18 (1995) 209-228.
8. J. Wiener, L. Debnath, Boundary value problems for the diffusion equation with piecewise continuous time delay, Int. J. Math. Math. Sci. 20 (1997) 187-195.