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14 Result(s)

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  1. No Access

    Article

    Local Dynamics of a Singularly Perturbed Second Order Equation with State-Dependent Delay

    V. O. Golubenets, I. S. Kashchenko in Mathematical Notes (2022)

  2. No Access

    Article

    Analysis of Local Dynamics of Difference and Close to Them Differential-Difference Equations

    We study the local dynamics of one class of nonlinear difference equations which is important for applications. Using perturbation theory methods, we construct sets of singularly perturbed differential-differe...

    I. S. Kashchenko, S. A. Kashchenko in Russian Mathematics (2018)

  3. No Access

    Article

    Local dynamics of a second-order differential-difference equation with large delay at the first derivative

    I. S. Kashchenko in Mathematical Notes (2017)

  4. No Access

    Article

    Local dynamics of an equation with two large different-order delays

    The behavior of solutions near an equilibrium of differential equations with two large different-order delays is studied. In critical cases, special equations (namely, quasi-normal forms) determining the dynam...

    I. S. Kashchenko in Doklady Mathematics (2016)

  5. No Access

    Article

    Local dynamics of an equation with a large state-dependent delay

    The behavior of solutions to first- and second-order differential equations with a large state-dependent delay is analyzed in a neighborhood of equilibrium. In critical cases, it is shown that their behavior i...

    I. S. Kashchenko, S. A. Kashchenko in Doklady Mathematics (2015)

  6. No Access

    Article

    Local dynamics of an equation with large delay and distributed deviation of the space variable

    We study the local dynamics in a neighborhood of an equilibrium state for an equation with delay in time and integral distribution in the space variable. In the close-to-critical cases depending on the relatio...

    I. S. Kashchenko, S. A. Kashchenko in Siberian Mathematical Journal (2014)

  7. No Access

    Article

    Quasi-normal forms of two-component singularly perturbed systems

    I. S. Kashchenko, S. A. Kashchenko in Doklady Mathematics (2012)

  8. No Access

    Article

    Asymptotic study of the corporate dynamics of systems of equations coupled by delay control

    I. S. Kashchenko in Doklady Mathematics (2012)

  9. No Access

    Article

    Cooperative dynamics of strongly coupled distributed systems

    I. S. Kashchenko, S. A. Kashchenko in Doklady Mathematics (2012)

  10. No Access

    Article

    Dynamics of an equation with a large spatially distributed control parameter

    I. S. Kashchenko, S. A. Kashchenko in Doklady Mathematics (2011)

  11. No Access

    Article

    Dynamics of an equation with a large coefficient of delay control

    I. S. Kashchenko in Doklady Mathematics (2011)

  12. No Access

    Article

    Multistability in nonlinear parabolic systems with low diffusion

    I. S. Kashchenko in Doklady Mathematics (2010)

  13. No Access

    Article

    Rapidly oscillating spatially inhomogeneous structures in coherent nonlinear optical systems

    I. S. Kashchenko, S. A. Kashchenko in Doklady Mathematics (2010)

  14. No Access

    Article

    Asymptotic analysis of the behavior of solutions to equations with large delay

    I. S. Kashchenko in Doklady Mathematics (2008)