Nonlinear oscillation of a fourth order elliptic equation

DOI10.1016/0022-0396(78)90017-7zbMath0422.35004OpenAlexW2022416472MaRDI QIDQ1133669

Yuichi Kitamura, Takasi Kusano

Publication date: 1978

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(78)90017-7

zbMATH Keywords

nonlinear oscillationsufficient conditionsbiharmonic operatorfourth order elliptic equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Differential inequalities involving functions of a single real variable (34A40) Higher-order elliptic equations (35J30)

Related Items (9)

Sharp nonoscillation theorems for even-order elliptic equations ⋮ Disoscillability of solutions to partial differential equations on manifolds of constant curvature and mean value theorems ⋮ Oscillation criteria for semilinear metaharmonic equations in exterior domains ⋮ A remark on oscillation criteria for the solutions of nonlinear differential equations ⋮ Characterization of oscillation of fourth order functional differential equations with deviating arguments ⋮ Characterization of oscillation of fourth order functional differential equations with deviating arguments ⋮ A study of the nonoscillatory character of solutions of partial differential equations by the method of separation of variables ⋮ Oscillation properties of the solutions of equations with a polyharmonic operator in the space \(E^ n\) ⋮ Sharp nonlogarithmic Kneser theorems for fourth-order elliptic equations

Cites Work

• On positive solutions of fourth order nonlinear differential inequalities
• Nonlinear Oscillation of Fourth Order Differential Equations
• 6.—Oscillation Theory for Semilinear Schrödinger Equations and Inequalities
• Canonical Forms and Principal Systems for General Disconjugate Equations

This page was built for publication: Nonlinear oscillation of a fourth order elliptic equation