Comparison Theorems for Second-Order Functional Differential Equations

• Autoři: DOŠLÁ Zuzana; MARINI Mauro
• Rok publikování: 2014
• Druh: Článek ve sborníku
• Konference: Recent Advances in Delay Differential and Difference Equations Springer Proceedings in Mathematics & Statistics Volume 94, 2014, pp 87-103
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: http://link.springer.com/chapter/10.1007/978-3-319-08251-6_2
• Doi: https://doi.org/10.1007/978-3-319-08251-6_2
• Obor: Obecná matematika
• Klíčová slova: Half-linear equation; Oscillation; Intermediate solution
• Popis: 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.

Související projekty

• Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace