Oscillatory behavior for nonlinear delay differential equation with several non-monotone arguments [PDF]
Summary: This paper is devoted to obtaining some new sufficient conditions for the oscillation of all solutions of first order nonlinear differential equations with several deviating arguments. Finally, an illustrative example related to our results is given.
Özkan Ökalan +3 more
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Differential equations with several non-monotone arguments: An oscillation result
First-order linear differential equations with multiple non-monotone delay arguments are studied. A new oscillation criterion is derived using the monotonicity analysis. An example is given to illustrate the result.
George E. Chatzarakis, Hajnalka Péics
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Oscillations caused by several non-monotone deviating arguments [PDF]
George E. Chatzarakis
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Oscillatory Behavior For Nonlinear Delay Difference Equation With Non-Monotone Arguments [PDF]
Aysenur Ocalan +2 more
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DIFFERENCE EQUATIONS WITH SEVERAL NON-MONOTONE DEVIATING ARGUMENTS: ITERATIVE OSCILLATION TESTS [PDF]
George E. Chatzarakis, Irena Jadlovská
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New oscillation criterion for delay differential equations with non-monotone arguments
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Hassan A. El-Morshedy, Emad R. Attia
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Oscillatory behavior of nonlinear advanced differential equations with a non-monotone argument
Summary: Consider the first-order nonlinear advanced differential equation \[ x'(t)-p(t)f(x(\tau(t)))=0,\quad t\ge t_0, \] where \(p(t)\) is are nonnegative function on \(\mathbb R\) and \(\tau(t)\) is non-monotone or nondecreasing function such that \(\tau(t)\ge t\) for \(t\ge t_0\).
Özkan Öcalan +2 more
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Oscillation criteria for linear difference equations with several variable delays [PDF]
We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type oscillation criteria from the literature by ...
Vasileios Benekas +3 more
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Local Logics, Non-Monotonicity and Defeasible Argumentation [PDF]
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Bodanza, Gustavo Adrian +1 more
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Oscillation of deviating differential equations [PDF]
Consider the first-order linear delay (advanced) differential equation x'(t)+p(t)x( \tau(t)) =0\quad(x'(t)-q(t)x(\sigma(t)) =0),\quad t\geq t_0, where $p$ $(q)$ is a continuous function of nonnegative real numbers and the argument $\tau(t)$ $(\sigma(
George E. Chatzarakis
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