The behavior of solutions of the differential equation \(y+p(x)y'+q(x)y = 0\)
From MaRDI portal
Publication:2523246
DOI10.2140/pjm.1966.17.435zbMath0143.31501OpenAlexW2015795624WikidataQ115230937 ScholiaQ115230937MaRDI QIDQ2523246
Publication date: 1966
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1966.17.435
Related Items (72)
Some properties of the solutions of third order linear ordinary differential equations ⋮ Behavior of solutions of differential equations with deviating argument ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Global theory of ordinary linear homogeneous differential equations in the real domain. I ⋮ Nonoscillation and oscillation of solutions of a class of third order difference equations ⋮ Hille and Nehari type criteria for third-order dynamic equations ⋮ On the behavior of nonoscillatory solutions of differential equations with deviating argument ⋮ Third Order Linear Differential Equations with Periodic Coefficients ⋮ On monotone solutions of a third-order differential equation ⋮ Global theory of ordinary linear homogeneous differential equations in the real domain. II ⋮ On the oscillatory behavior of a third order nonlinear differential equation ⋮ Oscillation of third-order neutral differential equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The oscillation of a forced equation implies the oscillation of the unforced equation - small forcings ⋮ Asymptotic properties of third-order delay trinomial differential equations ⋮ Integral criteria for oscillation of third order nonlinear differential equations ⋮ Asymptotic properties of the third order delay differential equations ⋮ The Asymptotic Behavior of Solutions of Linear Third Order Differential Equations ⋮ Unnamed Item ⋮ High-order exponentially fitted and trigonometrically fitted explicit two-derivative Runge-Kutta-type methods for solving third-order oscillatory problems ⋮ On the asymptotic behavior of a class of third order nonlinear neutral differential equations ⋮ Oscillation of third order trinomial delay differential equations ⋮ Unnamed Item ⋮ Oscillation theory of third-order nonlinear functional differential equations ⋮ On oscillations of solutions of third-order dynamic equation ⋮ Oscillating Solutions of Third Order Differential Equations ⋮ Properties of solutions of a class of third-order linear differential equations ⋮ Unnamed Item ⋮ On the nonoscillatory behavior of solutions of third order differential equations ⋮ Factorization and Disconjugacy of Third Order Differential Equations ⋮ Exponentially fitted and trigonometrically fitted explicit modified Runge-Kutta type methods for solving \(y(x)=f(x,y,y')\) ⋮ Nonoscillation criteria for nonlinear ordinary differential equations of the third order ⋮ Oscillatory Behavior of Third Order Differential Equations ⋮ Unnamed Item ⋮ Asymptotic behaviour of a class of nonlinear functional differential equations of third order ⋮ Asymptotic behavior of the solutions of the third order nonlinear differential equations \(u\pm t^\sigma u^n=0\) ⋮ Disconjugacy of third order differential equations with nonnegative coefficients ⋮ The extremal solutions of the equation Ly + p(x)y = 0. II ⋮ Comparison theorems of Hille-Wintner type for third order linear differential equations ⋮ Oscillation, nonoscillation, and asymptotic behavior for third order nonlinear differential equations ⋮ Comparison theorems for the third order trinomial differential equations with delay argument ⋮ Comparison theorems for third- and fourth-order linear equations ⋮ On the oscillatory behavior of a class of linear third order differential equations ⋮ Third order positive cyclic systems of linear differential equations ⋮ Third-order differential equations with nonnegative coefficients ⋮ On the Oscillation of Certain Third Order Linear Differential Equations ⋮ On the relationship between the oscillatory behavior of a linear third- order differential equation and its adjoint ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A classification of the solutions of a differential equation according to their asymptotic behaviour ⋮ Oscillation theory of ordinary linear differential equations ⋮ On solutions of certain self-adjoint differential equations of fourth order ⋮ Integral manifolds of a class of third order autonomous differential equations ⋮ Properties of the third order trinomial differential equations with delay argument ⋮ Nonoscillation of solutions of a class of third order differential equations ⋮ On third order differential equations with property A and B ⋮ Asymptotic Property of Solutions of a Class of Third-Order Differential Equations ⋮ The oscillatory nature of the equation \(y+qy'+ry=0\) ⋮ Some properties of third order differential operators ⋮ Unnamed Item ⋮ Properties of solutions of a class of third-order differential equations ⋮ Concerning solutions of third order self-adjoint differential equations ⋮ Nonoscillatory behaviour of solutions of nonhomogeneous third order differential equations ⋮ Oscillating nonlinear third order differential equations ⋮ Unnamed Item ⋮ Asymptotic Properties of Linear Fourth Order Differential Equations ⋮ Generalizations of an inequality of Kiguradze ⋮ Oscillation and nonoscillation of nonhomogeneous third order differential equations ⋮ Unnamed Item ⋮ Unnamed Item
This page was built for publication: The behavior of solutions of the differential equation \(y+p(x)y'+q(x)y = 0\)
