Geodesic
Langenhop's inequality and applications for dynamic equations
Electronic transactions on numerical analysis, Tome 27 (2007), pp. 71-77
A Langenhop-type inequality is given for dynamic equations on time scales. This result is further employed to obtain lower bounds for solutions of certain dynamic equations. As an application, usage of the derived Langenhop's inequality in determining the oscillatory behavior of a damped second order delay dynamic equation is illustrated. The results obtained are important in the qualitative sense.
Classification : 26D20, 34A40, 34K11
Keywords: langenhop inequality, time scale, lower bounds, oscillation 
@article{ETNA_2007__27__a7,
     author = {Kaymak\c{c}alan,  B. and Zafer,  A.},
     title = {Langenhop's inequality and applications for dynamic equations},
     journal = {Electronic transactions on numerical analysis},
     pages = {71--77},
     year = {2007},
     volume = {27},
     zbl = {1176.26009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2007__27__a7/}
}
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Kaymakçalan,  B.; Zafer,  A. Langenhop's inequality and applications for dynamic equations. Electronic transactions on numerical analysis, Tome 27 (2007), pp. 71-77. http://geodesic.mathdoc.fr/item/ETNA_2007__27__a7/