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Your search keyword '"*DELAY differential equations"' showing total 6 results
6 results on '"*DELAY differential equations"'

1. Positive periodic solutions of delay differential equations.

Author

Olach, Rudolf

Subjects
*DIFFERENTIAL equations, *CALCULUS, *EXISTENCE theorems, *MATHEMATICS theorems, *MATHEMATICAL analysis, *DIRECTION field (Mathematics)
Abstract

Abstract: This work deals with the existence of positive -periodic solutions for the delay differential equations. The main results are illustrated with several examples. [Copyright &y& Elsevier]

Published
2013
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3. Dissipativity of Runge–Kutta methods for neutral delay differential equations with piecewise constant delay

Author

Wang, Wan-Sheng and Li, Shou-Fu

Subjects
*INITIAL value problems, *DIFFERENTIAL equations, *CALCULUS, *BESSEL functions
Abstract

Abstract: The numerical approximation of neutral dissipative initial value problems with piecewise constant delay by fixed time stepping Runge–Kutta methods is considered and two sufficient conditions for the dissipativity of the system are given. The concept of (weak) -dissipativity is introduced. It is shown that under some assumptions a -irreducible, algebraically stable Runge–Kutta method is (weakly) -dissipative. [Copyright &y& Elsevier]

Published
2008
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5. Periodic solutions for a second order nonlinear functional differential equation

Author

Wang, Youyu, Lian, Hairong, and Ge, Weigao

Subjects
*DIFFERENTIAL equations, *FUNCTIONAL equations, *FUNCTIONAL differential equations, *CALCULUS
Abstract

Abstract: The second order nonlinear delay differential equation with periodic coefficients is considered in this work. By using Krasnoselskii’s fixed point theorem and the contraction mapping principle, we establish some criteria for the existence and uniqueness of periodic solutions to the delay differential equation. [Copyright &y& Elsevier]

Published
2007
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6. Stability and boundedness of a kind of third-order delay differential system

Author

Sadek, A.I.

Subjects
*DIFFERENTIAL equations, *CALCULUS, *MATHEMATICS
Abstract

The paper studies equation (1.1) in two cases:

  • (i)p ≡ 0,
  • (ii)p ≠ 0.
    • In Case (i), the asymptotic stability of the solution x = 0 is studied; in Case (ii), the uniform boundedness and uniform ultimate boundedness of all solutions of (1.1) are proved. [Copyright &y& Elsevier]

    Published
    2003
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