共查询到20条相似文献,搜索用时 8 毫秒
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In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for a kind of forced Rayleigh equation of the form
相似文献
x″+f(t,x′(t))+g(t,x(t))=e(t).
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《Communications in Nonlinear Science & Numerical Simulation》2010,15(7):1754-1758
In this paper, reproducing kernel theorem is employed to solve anti-periodic solutions for Rayleigh-type equations. A simple algorithm is given to obtain the approximate solutions of the equations. By comparing the approximate solution with the exact analytical solution, we find that the simple algorithm is of good accuracy and it can be also applied to some ordinary or partial differential equations with initial-boundary value conditions and nonlocal boundary value conditions. 相似文献
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Hong Gao 《Applied mathematics and computation》2009,211(1):148-154
In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for a kind of forced Rayleigh equation of the form
x″+f(x′(t))+g(t,x(t))=e(t). 相似文献
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Yuqing Chen 《Journal of Mathematical Analysis and Applications》2006,315(1):337-348
In this paper, we study the existence problem of anti-periodic solutions for the following first order evolution equation:
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By using the bilinear form and the Leray-Schauder principle, we prove the new anti-periodic existence results for second order differential equations. 相似文献
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Anti-periodic solutions to nonlinear evolution equations 总被引:1,自引:0,他引:1
Liu Zhenhai 《Journal of Functional Analysis》2010,258(6):2026-5009
We deal with anti-periodic problems for nonlinear evolution equations with nonmonotone perturbations. The main tools in our study are the maximal monotone property of the derivative operator with anti-periodic conditions and the theory of pseudomonotone perturbations of maximal monotone mappings. 相似文献
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利用双线性形式和重合度理论,研究了一类含有强迫项的Rayleigh曲型方程的反周期解,给出了反周期解存在和唯一的新的判据,所得结果改善了已有的工作. 相似文献
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Yuqing Chen Donal O’Regan Ravi P. Agarwal 《Journal of Applied Mathematics and Computing》2012,38(1-2):63-70
In this paper, we study the anti-periodic problem for semi-linear evolution equations in reflexive Banach spaces. Several existence results are obtained under suitable conditions. 相似文献
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Anti-periodic solutions of some nonlinear evolution equations 总被引:4,自引:0,他引:4
Alain Haraux 《manuscripta mathematica》1989,63(4):479-505
Following a recent work of H. Okochi in the case of evolution equations generated by subdifferential operators in a real Hilbert space, we point out that many quasi-autonomous evolution equations of non monotone type associated to odd non linear operators have some anti-periodic solutions provided the forcing term is anti-periodic. This comes from the fact that the space of anti-periodic functions is transversal to the kernel of the linear part and stable under the action of odd non linear operators. The proofs of our results combine strong a priori estimates which depend very little on the non-linearities with an application of Schauder's fixed point theorem to some related dissipative equations. 相似文献
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In this paper, by using the \(\alpha \)-resolvent family theory, Banach contraction mapping principle and Schauder’s fixed point theorem, we investigate the existence of anti-periodic mild solutions to the semilinear fractional differential equations \(D^{\alpha }_{t}u(t) = Au(t) +f(t,u(t)),\ t\in R,1 \le \alpha \le 2 \) and \(D^{\alpha }_{t}u(t) = Au(t) +f(t,u(t),u'(t)),\ t\in R,1 < \alpha < 2\), where \(A : D(A)\subset X \rightarrow X\) is the infinitesimal generator of an \(\alpha \)-resolvent family defined on a Banach space \(X\) and \(f\) is a suitable function. Furthermore, an example is given to illustrate our results. 相似文献
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In this work, we study the anti-periodic problem for a nonlinear evolution inclusion where the nonlinear part is an odd maximal monotone mapping and the forcing term is an anti-periodic mapping. Several existence results are obtained under suitable conditions. An example is presented to illustrate the results. 相似文献
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Qiyi Fan Wentao Wang Xuejun Yi 《Journal of Computational and Applied Mathematics》2009,230(2):762-769
In this paper, we use the Leray–Schauder degree theory to establish new results on the existence and uniqueness of anti-periodic solutions for a class of nonlinear nth-order differential equations with delays of the form
x(n)(t)+f(t,x(n−1)(t))+g(t,x(t−τ(t)))=e(t).