Oscillation criteria for functional dynamic equations with nonlinearities given by Riemann-Stieltjes integral (Q1724766)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Oscillation criteria for functional dynamic equations with nonlinearities given by Riemann-Stieltjes integral |
scientific article; zbMATH DE number 7022902
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillation criteria for functional dynamic equations with nonlinearities given by Riemann-Stieltjes integral |
scientific article; zbMATH DE number 7022902 |
Statements
Oscillation criteria for functional dynamic equations with nonlinearities given by Riemann-Stieltjes integral (English)
0 references
14 February 2019
0 references
Summary: We present new oscillation criteria for the second order nonlinear dynamic equation \([r(t) \phi_\gamma(x^{\Delta}(t))]^{\Delta} + q_0(t) \phi_\gamma(x(g_0(t))) + \int_a^b q(t, s) \phi_{\alpha(s)}(x(g(t, s))) \Delta \zeta(s) = 0\) under mild assumptions. Our results generalize and improve some known results for oscillation of second order nonlinear dynamic equations. Several examples are worked out to illustrate the main results.
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0.9649528
0 references
0.94329834
0 references
0.94326043
0 references
0 references
0.93372834
0 references
0.9309994
0 references
