Geodesic
Theorems of Kiguradze-type and Belohorec-type revisited on time scales
Electronic journal of differential equations, Tome 2015 (2015)
This article concerns the oscillation of second-order nonlinear dynamic equations. By using generalized Riccati transformations, Kiguradze-type and Belohorec-type oscillation theorems are obtained on an arbitrary time scale. Our results cover those for differential equations and difference equations, and provide new oscillation criteria for irregular time scales. Some examples are given to illustrate our results.
Classification : 34K11, 39A10, 39A99
Keywords: superlinear, sublinear, time scales, second order, oscillation 
@article{EJDE_2015__2015__a49,
     author = {Wu,  Hongwu and Jia,  Baoguo and Erbe,  Lynn},
     title = {Theorems of {Kiguradze-type} and {Belohorec-type} revisited on time scales},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1318.34123},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a49/}
}
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Wu,  Hongwu; Jia,  Baoguo; Erbe,  Lynn. Theorems of Kiguradze-type and Belohorec-type revisited on time scales. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a49/