The effect of the deviating argument on the existence of nonoscillatory solutions for second order differential equations with p-Laplacian is studied by means of the comparison with a half-linear equation. As a consequence, necessary and sufficient conditions for the existence of the so-called intermediate solutions are given and the coexistence with different types of nonoscillatory solutions is analyzed. Moreover, new oscillation results are established too.
Comparison theorems for second order functional differential equations / Z. Dosla; M. Marini. - STAMPA. - (2014), pp. 87-103. [10.1007/978-3-319-08251-6_2]
Comparison theorems for second order functional differential equations
MARINI, MAURO
2014
Abstract
The effect of the deviating argument on the existence of nonoscillatory solutions for second order differential equations with p-Laplacian is studied by means of the comparison with a half-linear equation. As a consequence, necessary and sufficient conditions for the existence of the so-called intermediate solutions are given and the coexistence with different types of nonoscillatory solutions is analyzed. Moreover, new oscillation results are established too.
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