Asymptotic behavior of solutions to differential equations with p(t)-Laplacian

• Autoři: DOŠLÁ Zuzana; FUJIMOTO Kodai
• Rok publikování: 2022
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Communications in Contemporary Mathematics
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: https://doi.org/10.1142/S0219199721500462
• Doi: https://doi.org/10.1142/S0219199721500462
• Klíčová slova: Asymptotic behavior; bounded solutions; proper solutions; uniqueness; minimal sets; principal solutions; p(t)-Laplacian; half-linear differential equations
• Popis: This paper deals with the second-order nonlinear differential equation (a(t)|x'p(t)-2 x')'= b(t)|x|q(t)-2x involving p(t)-Laplacian. The existence and the uniqueness of nonoscillatory solutions of this equation in certain classes, which are related with integral conditions, are studied. Moreover, a minimal set for solutions of this equation is introduced as an extension of the concept of principal solutions for linear equations. Obtained results extend the results for equations with p-Laplacian.

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• Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace