Search Results - Ordinary differential equations Qualitative theory Nonlinear oscillations, coupled oscillators

Oscillation for higher order nonlinear ordinary differential equations with impulses by Chaolong Zhang, Weizhen Feng

“…In this paper, we study the oscillation of solutions to higher order nonlinear ordinary differential equations with impulses…”
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Oscillation Theorems for Nonlinear Ordinary Differential Equations of Even Order by Kreith, Kurt, Kusano, Takaŝi

“…Consider the differential equation 1 where n is even and f(t, y) is subject to the following conditions: (a) f(t, y) is continuous on [0, ∞)× R; (2) (b) f(t, y…”
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Nonlinear oscillations of fourth order quasilinear ordinary differential equations by Kamo, Ken-ichi, Usami, Hiroyuki

“…We consider fourth order quasilinear ordinary differential equations. Firstly, we classify positive solutions into four types according to their asymptotic properties…”
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Oscillations of second-order nonlinear impulsive ordinary differential equations by He, Zhimin, Ge, Weigao

“…Consider the second-order impulsive ordinary differential equation (r(t)(x′(t)) σ)′+f(t,x(t))=0, t⩾t 0, t≠t k, k=1,2,…, x(t k +)=g k(x(t k)), x′(t k +)=h k(x…”
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Oscillations of Second-Order Nonlinear Ordinary Differential Equations with Impulses by Luo, Jiaowan, Debnath, Lokenath

“…This paper deals with the oscillations of second-order nonlinear ordinary differential equations with impulses…”
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Interval oscillation criteria for a forced second order nonlinear ordinary differential equation by Li, Wan-Tong, Agarwal, Ravi P.

“…New oscilation criteria are established for the nonlinear differential equation that are different from most kown ones in the sense that they are based on the information only on a sequence of subintervals of (t 0…”
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Some oscillation criteria for second order nonlinear functional ordinary differential equations by Zayed, E.M.E., El-Moneam, M.A.

“…The main objective of this article is to study the oscillatory behavior of the solutions of the following nonlinear functional differential equations ( a(t)x…”
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Oscillation and Nonoscillation of Solutions of a Second-Order Nonlinear Ordinary Differential Equation by Naito, Manabu

“…We consider the Emden–Fowler nonlinear differential equation x ′ ′ + a ( t ) | x | γ sgn x = 0 , t ≥ t 0 , ( 1.1 ) and discuss the problem of oscillation and nonoscillation of solutions…”
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Interval oscillation criteria for a forced second order nonlinear ordinary differential equations with oscillatory potential by Yang, Qigui

“…New oscillation criteria established in the paper for a forced second order nonlinear equation with oscillatory potential (p(t)y ′(t)) ′+q(t)f(y(t))=g…”
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Global Solvability and Oscillation Criteria for a Class of Second Order Nonlinear Ordinary Differential Equations, Containing Some Important Classical Models by Grigorian, Gevorg Avagovich

“…–Fowler and Van der Pol type equations. Two oscillation theorems are proved. The results obtained are applied to the Emden…”
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Linearized oscillation theory for a nonlinear nonautonomous delay differential equation by Berezansky, Leonid, Braverman, Elena

“…Oscillation properties of two following equations are compared: a scalar nonlinear delay differential equation y ̇ (t)+ ∑ k=1 m r k(t)f k[y(h k(t))]=0 with r k(t)⩾0, h k…”
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OSCILLATION THEORY FOR NONLINEAR ADVANCED DIFFERENTIAL EQUATIONS NURTEN KILIC

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OSCILLATION THEORY OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS by FREEDMAN, ROY STUART

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Oscillation Theory of Systems of Ordinary Differential Equations by Freedman, Roy S

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Ordinary differential equations in the oscillation theory of partial half-linear differential equation by MARIK, Robert

“… | p − 2 u = 0 . Using radialization method we derive general oscillation results which allow to deduce new oscillation criteria for this equation from oscillation criteria for ordinary differential equations…”
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Qualitative analysis of two systems of nonlinear first‐order ordinary differential equations for biological systems by Wacker, Benjamin, Schlüter, Jan Christian

“…We consider two systems of nonlinear first‐order ordinary differential equations proposed to describe Ca2…”
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Existence, uniqueness and qualitative properties of heteroclinic solutions to nonlinear second-order ordinary differential equations by Pei, Minghe, Wang, Libo, Lv, Xuezhe

“…–Hukahara continuum theorem, the authors present the existence, uniqueness and qualitative properties of solutions to nonlinear second-order boundary value problem…”
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QUALITATIVE BEHAVIOR OF SOLUTIONS OF A THIRD ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATION by HEIDEL, JOHN WILLARD

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Ordinary differential equations; qualitative theory

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On qualitative theory of solutions to nonlinear partial differential equations by Surnachev, Mikhail

“…In this work I study certain aspects of qualitative behaviour of solutions to nonlinear PDEs…”
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