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UNIQUE EXISTENCE OF PERIODIC SOLUTIONS OF NEUTRAL VOLTERRA INTEGRODIFFERENTIAL EQUATIONS 被引量:1
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作者 王克 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1990年第3期238-244,共7页
This paper deals with the uniqueness and existence of periodic solutions of neutral Volterraintegrodifferential equations (1) and (2). Some new unique existence criteria are obtained.
关键词 IFI ZT UNIQUE existence of periodic solutionS of NEUTRAL VOLTERRA INTEGRODIFFERENTIAL EQUATIONS
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NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF PERIODIC SOLUTIONS OF RICCATI'S EQUATION WITH PERIODIC COEFFICIENTS
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作者 郜奉欣 侯占元 张振国 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1989年第3期219-233,共15页
In this paper, the concept of generalized ω-periodic solution is given for Riccati's equationy'=a(t)y^2+b(t)y+c(t)with perriodic coefficients, the relation between generalized ω-periodicsolutions and the cha... In this paper, the concept of generalized ω-periodic solution is given for Riccati's equationy'=a(t)y^2+b(t)y+c(t)with perriodic coefficients, the relation between generalized ω-periodicsolutions and the characteristic numbers of system x'_1=c(t)x_2, x'_2=-a(t)x_1-b(t)x_2 is indicated, andseveral necessary and sufficient conditions are given using the coefficients. Moreover, in the case of a(t)without zero, the relation between the number of continuous ω-periodic solutions of y'=a(t)y^2+b(t)y+c(t)+δand the parameter δ is given; thus the problem on the existence of continuous ω-periodic.solutions is basically solved. 展开更多
关键词 TH PS NECESSARY AND SUFFICIENT CONDITIONS FOR THE existence of periodic solutionS of RICCATI’S EQUATION WITH periodic COEFFICIENTS exp
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EXISTENCE OF PERIODIC SOLUTION FOR A KIND OF THIRD-ORDER GENERALIZED NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER
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作者 A.M.Mahmoud E.S.Farghaly 《Annals of Applied Mathematics》 2018年第3期285-301,共17页
In this paper, we investigate a third-order generalized neutral functional differential equation with variable parameter. Based on Mawhin’s coincidence degree theory and some analysis skills, we obtain sufficient con... In this paper, we investigate a third-order generalized neutral functional differential equation with variable parameter. Based on Mawhin’s coincidence degree theory and some analysis skills, we obtain sufficient conditions for the existence of periodic solution for the equation. An example is also provided. 展开更多
关键词 existence of periodic solution third-order neutral functional differential equation variable parameter Mawhin's continuation theorem coincidence degree
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ON THE EXISTENCE OF PERIODIC SOLUTIONS TO A CERTAIN FOURTH-ORDER NONLINEAR DIFFERENTIAL EQUATION
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作者 Cemil Tun 《Annals of Differential Equations》 2009年第1期8-12,共5页
In this paper, we consider a certain fourth-order nonlinear ordinary differential equation. Some sufficient conditions which guarantee the existence of at least one ω-periodic solution to the system are obtain.
关键词 nonlinear differential equations of fourth order existence of periodic solutions
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EXISTENCE UNIQUENESS AND ASYMPTOTIC STABILITY OF PERIODIC SOLUTIONS OF A NONLINEAR EQUATION IN PHASE LOCKED TECHNOLOGY
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作者 金均 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1991年第1期90-96,共7页
In [1] and [2], the authors made a deep qualitative analysis of the equationwith the character of tangent detected phase and they mathematically provided atheoretical basis of why the phase looked loop has no look--lo... In [1] and [2], the authors made a deep qualitative analysis of the equationwith the character of tangent detected phase and they mathematically provided atheoretical basis of why the phase looked loop has no look--losing point. However,according to many practical experts, it is rather difficult to put such a phaselooked loop into practice, though it has fine properties. W. C. Lindsey [3] made a 展开更多
关键词 existence UNIQUENESS AND ASYMPTOTIC STABILITY of periodic solutionS of A NONLINEAR EQUATION IN PHASE LOCKED TECHNOLOGY
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HARMONIC OSCILLATORS AT RESONANCE,PERTURBED BY A NON-LINEAR FRICTION FORCE
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作者 Philip KORMAN Yi LI 《Acta Mathematica Scientia》 SCIE CSCD 2014年第4期1025-1028,共4页
This note is an addendum to the results of Lazer and Frederickson [1], and Lazer [4] on periodic oscillations, with linear part at resonance. We show that a small modification of the argument in [4] provides a more ge... This note is an addendum to the results of Lazer and Frederickson [1], and Lazer [4] on periodic oscillations, with linear part at resonance. We show that a small modification of the argument in [4] provides a more general result. It turns out that things are different for the correspouding Dirichlet boundary value problem. 展开更多
关键词 RESONANCE existence of periodic solutions
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