Oscillation and convergence to zero of solutions of damped second-order nonlinear differential equations

DOI10.1016/0022-247X(84)90191-4zbMath0575.34023MaRDI QIDQ1064446

Said R. Grace, Bikkar S. Lalli

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

second-order nonlinear differential equationevanescent solutionsnon-increasing amplitude

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (5)

Oscillations in second order differential equations with alternating coefficients ⋮ Oscillation theorems for second-order nonlinear differential equations with damped term ⋮ Unnamed Item ⋮ Asymptotic and oscillatory behavior of solutions of a class of second order differential equations with deviating arguments ⋮ Asymptotic and oscillatory behavior of a class of second order functional differential equations

Cites Work

• Unnamed Item
• Oscillation properties of (m(t)x')'+a(t)b(x)=0
• Boundedness and convergence to zero of solutions of a forced second-order nonlinear differential equation
• A stability for the differential equation \(y+p(x) y = 0\)
• Some properties of the solutions of \([p(t)x''+ q(t)f(x) = 0\)]
• Remarks on Stability Conditions for the Differential Equation x″ + a(t)ƒ(x) = 0
• Some Stability Conditions for $x + a( t )x^{2n - 1} = 0$

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