Comparison Theorems for Second-Order Functional Differential Equations

  • Zuzana DošláEmail author
  • Mauro Marini
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 94)


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.


Half-linear equation Oscillation Intermediate solution 



The first author is supported by the grant GAP201/11/0768 of the Czech Grant Agency.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsMasaryk UniversityBrnoCzech Republic
  2. 2.Department of Mathematics and Informatics “Ulisse Dini”University of FlorenceFlorenceItaly

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