Results 61 to 70 of about 863 (176)
A remark on the linearization technique in half-linear oscillation theory [PDF]
Opuscula Mathematica, 2006 We show that oscillatory properties of the half-linear second order differential equation \[(r(t)\Phi(x'))'+c(t)\Phi(x)=0,\qquad\Phi(x)=|x|^{p-2}x,\quad p\gt 1,\] can be investigated via oscillatory properties of a certain associated second order linear ...
Ondřej Došlý
doaj
Oscillation and Nonoscillation for Neutral Differential Equations
Journal of Mathematical Analysis and Applications, 1993 A class of neutral differential equations is investigated. The existence of nonoscillatory positive solutions is proved. Sufficient conditions for the existence of oscillatory solutions of this problem are given.
Zhang, B.G., Yu, J.S.
openaire +2 more sources
Nonoscillation criteria for second order nonlinear differential equations [PDF]
, 1985 A number of known nonoscillation criteria for the second order nonlinear differential equation y″ + q(x) yγ = 0, γ > 0, where q is positive and locally of bounded variation, are improved by energy function ...
Erbe, Lynn H
core +1 more source
Nonoscillation criteria for elliptic equations in conical domains
, 1977 Nonoscillation criteria are established for a class of higher order elliptic equations defined in conical domains.
W. Allegretto
core +1 more source
Oscillation and nonoscillation of Emden-Fowler type equations of second order [PDF]
, 1996 summary:Oscillation and nonoscillation criteria are established for the equation $$u''+p(t)|u|^{\alpha}|u'|^{1-\alpha}\operatorname{sgn} u=0,$$ where $\alpha\in ]0,1]$, and $p:[0,+\infty[\to [0,+\infty[$ is a locally summable ...
Lomtatidze, A.
core +1 more source
Nonoscillation in a delay-logistic equation [PDF]
Quarterly of Applied Mathematics, 1985 Consider the equation \(x'(t)=x(t)(b-\sum^{n}_{j=1}a_ jx(t-\tau_ j),\) \(a_ j\), b, \(\tau_ j\) positive constants, with the initial function \(\phi\) (s)\(\geq 0\), \(\phi (0)>0\). Assume \((\sum^{n}_{j=1}a_ j)x^*\tau \leq 1/e,\) \(x^*=b/(\sum^{n}_{j=1}a_ j)\), \(\tau =\max \tau_ j\). Then there exists a solution such that \(x(t)-x^*\) has no zeros on
openaire +2 more sources
Nonoscillation of second-order nonhomogeneous differential equations [PDF]
, 1984 In this paper, sufficient conditions are obtained for nonoscillation of all solutions of (r(t)y′)′ − p(t)y = ƒ(t) and all bounded solutions of (r(t)y′)′ − p(t)yγ = ƒ(t), where r, p and ƒ are real-valued continuous functions on [0, ∞) such that r(t) > 0 ...
Nayak, S.K., Parhi, N.
core +1 more source
Electronic Journal of Differential Equations, 2013 In this article, we investigate the oscillation and nonoscillation of second order nonlinear neutral dynamic equations with retarded and advanced arguments by means of the theory of upper and lower solutions for related dynamic equations along with ...
Xun-Huan Deng, Qi-Ru Wang
doaj
On oscillatory behavior of two-dimensional time scale systems
Advances in Difference Equations, 2018 This paper deals with long-time behaviors of nonoscillatory solutions of a system of first-order dynamic equations on time scales. Some well-known fixed point theorems and double improper integrals are used to prove the main results.
Özkan Öztürk
doaj +1 more source
Oscillation and Nonoscillation Criteria for Second Order Nonlinear Differential Equations, I [PDF]
, 1993 A second order nonlinear differential equation is considered.
Elsheikh, M.M.A.
core +1 more source