Belohorec-type oscillation theorem for second order sublinear dynamic equations on time scales

2011 ◽  
Vol 284 (13) ◽  
pp. 1658-1668 ◽  
Author(s):  
Lynn Erbe ◽  
Baoguo Jia ◽  
Allan Peterson
Keyword(s):  
Time Scales ◽  
Second Order ◽  
Dynamic Equations ◽  
Oscillation Theorem ◽  
Type Oscillation

scholarly journals Kamenev-Type Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Yang-Cong Qiu ◽  
Qi-Ru Wang
Keyword(s):  
Time Scales ◽  
Nonlinear Dynamic ◽  
Second Order ◽  
Dynamic Equations ◽  
Riccati Technique ◽  
Oscillation Criteria ◽  
Function Classes ◽  
Nonlinear Dynamic Equations ◽  
Generalized Riccati Technique ◽  
Type Oscillation

Using functions from some function classes and a generalized Riccati technique, we establish Kamenev-type oscillation criteria for second-order nonlinear dynamic equations on time scales of the form(p(t)ψ(x(t))k∘xΔ(t))Δ+f(t,x(σ(t)))=0. Two examples are included to show the significance of the results.

An oscillation theorem for second order superlinear dynamic equations on time scales

2013 ◽  
Vol 219 (20) ◽  
pp. 10333-10342 ◽  
Author(s):  
Jia Baoguo ◽  
Lynn Erbe ◽  
Allan Peterson
Keyword(s):  
Time Scales ◽  
Second Order ◽  
Dynamic Equations ◽  
Oscillation Theorem

scholarly journals Oscillation Criteria of Second-Order Dynamic Equations with Damping on Time Scales

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Yang-Cong Qiu ◽  
Qi-Ru Wang
Keyword(s):  
Time Scales ◽  
Second Order ◽  
Dynamic Equations ◽  
Riccati Technique ◽  
Oscillation Criteria ◽  
Function Classes ◽  
Generalized Riccati Technique ◽  
Type Oscillation

Using functions in some function classes and a generalized Riccati technique, we establish Kamenev-type oscillation criteria for second-order dynamic equations with damping on time scales of the form(r(t)(xΔ(t))γ)Δ+p(t)(xΔ(t)γ)+f(t,x(g(t)))=0. Two examples are included to show the significance of the results.

Sign in / Sign up

Export Citation Format

Share Document