Oscillations of nonlinear hyperbolic equations with functional arguments via Riccati method

DOI10.1016/j.amc.2010.05.030zbMath1203.35017OpenAlexW2084863869MaRDI QIDQ708150

Norio Yoshida, Yutaka Shoukaku

Publication date: 11 October 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.030

zbMATH Keywords

integral averaging methodinterval criteriaRiccati inequality

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Partial functional-differential equations (35R10)

Related Items (3)

Solution of a nonlocal problem for hyperbolic equations with piecewise constant argument of generalized type ⋮ Oscillation criteria for solution to partial dynamic equations on time scales ⋮ Generalized and functional separable solutions to nonlinear delay Klein-Gordon equations

Cites Work

• Integral average method for oscillation of second order partial differential equations with delays
• Interval criteria for oscillation of second-order linear ordinary differential equations
• Interval oscillation criteria for second order nonlinear differential equations with damping
• Some oscillation theorems for a class of quasilinear elliptic equations
• Interval oscillation criteria related to integral averaging technique for certain nonlinear differential equations
• Interval oscillation criteria for second order partial differential equations with delays
• On the oscillation of certain nonlinear neutral partial differential equations
• OSCILLATION FOR SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH DELAYS
• Interval oscillation criteria for nonlinear second-order differential equations
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