
Here, the second-order nonlinear differential equation with impulses of the form \[ \begin{aligned} &[r(t)x'(t)]'+f(t,x(t))=0,\quad t\geq t_0,\;t\neq t_k,\;k=1,2,\dots ,\\ &x(t_k^{+})=g_k(x(t_k)),\;x'(t_k^{+})=h_k(x'(t_k)),\;\;k=1,2,\dots ,\\ &x(t_0^{+})=x_0,\;\;x'(t_0^{+})=x'_0, \end{aligned} \] with \(0\leq t_0
Oscillations, Applied Mathematics, impulse, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Ordinary differential equations with impulses, Impulse, Applied, oscillations, Nonlinear ordinary differential equations, nonlinear equations with impulses, Mathematics, nonlinear ordinary differential equations, Analysis
Oscillations, Applied Mathematics, impulse, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Ordinary differential equations with impulses, Impulse, Applied, oscillations, Nonlinear ordinary differential equations, nonlinear equations with impulses, Mathematics, nonlinear ordinary differential equations, Analysis
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 10 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
