
handle: 11630/21306 , 11630/20829
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 \(t\ge t_0\). Under these assumptions we researched oscillatory behaviour of solutions of nonlinear advanced differential equations and we obtain new oscillation criteria, involving limsup and liminf. An example illustrating the result is also given.
non-oscillatory solution, Non-monotone argument, Non-Monotone Argument, non-monotone argument, Oscillatory solution, Advanced differential equation, Advanced Differential Equation, advanced differential equation, oscillatory solution, Oscillatory Solution, Oscillation theory of functional-differential equations, Non-Oscillatory Solution, Non-oscillatory solution
non-oscillatory solution, Non-monotone argument, Non-Monotone Argument, non-monotone argument, Oscillatory solution, Advanced differential equation, Advanced Differential Equation, advanced differential equation, oscillatory solution, Oscillatory Solution, Oscillation theory of functional-differential equations, Non-Oscillatory Solution, Non-oscillatory solution
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