Multiple Solutions for a Kirchhoff-type Second-Order Impulsive Differential Equation on the Half-Line

2021 ◽  
pp. 1-33
Author(s):  
Ghasem A. Afrouzi ◽  
Shapour Heidarkhani ◽  
Shahin Moradi
Keyword(s):  
Differential Equation ◽  
Multiple Solutions ◽  
Impulsive Differential Equation ◽  
Second Order ◽  
Half Line ◽  
Kirchhoff Type

scholarly journals Interval oscillation criteria for certain forced second-order differential equations

2012 ◽  
Vol 28 (2) ◽  
pp. 337-344
Author(s):  
ERCAN TUNC ◽  
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Second Order ◽  
Half Line ◽  
Oscillation Criteria ◽  
Second Order Differential Equations ◽  
Interval Oscillation

By using generalized Riccati transformations and an inequality due to Hardy et al., several new interval oscillation criteria are established for the nonlinear damped differential equation... The new interval oscillation criteria are different from most known ones in the sense they are based on the information only on a sequence of subintervals of [t0, ∞), rather than on the whole half-line. Our results improve and extend the known some results in the literature.

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