Comparison Theorems for Second-Order Functional Differential Equations

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Authors

DOŠLÁ Zuzana MARINI Mauro

Year of publication 2014
Type Article in Proceedings
Conference Recent Advances in Delay Differential and Difference Equations Springer Proceedings in Mathematics & Statistics Volume 94, 2014, pp 87-103
MU Faculty or unit

Faculty of Science

Citation
Web http://link.springer.com/chapter/10.1007/978-3-319-08251-6_2
Doi http://dx.doi.org/10.1007/978-3-319-08251-6_2
Field General mathematics
Keywords Half-linear equation; Oscillation; Intermediate solution
Description 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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