Results 51 to 60 of about 9,017,418 (195)
Existence of Periodic Positive Solutions for Abstract Difference Equations [PDF]
We will consider the existence of multiple positive periodic solutions for a class of abstract difference equations by using the well‐known fixed point theorem (due to Krasnoselskii).
Shugui Kang, Yaqiong Cui, Jianmin Guo
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Multiple Positive Periodic Solutions for Delay Differential System [PDF]
We obtain some existence results for multiple positive periodic solutions of some delay differential systems. Examples are presented as applications. For a general positive integer m ≥ 2, main results of this paper do not appear in former literatures as we know. Comparing with the existing results, our results are new also when m = 1.
Zhaocai Hao, Ti‐Jun Xiao, Jin Liang
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Gradient-Based Approach to Solve Optimal Periodic Output Feedback Control Problems [PDF]
We discuss the numerical solution of the output feedback optimal periodic control problem by using a gradient search based optimization approach. Extension of this approach to the simultaneous stabilization of periodic multimodels is also considered. For
Varga, A., Pieters, S,
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On computing inner-outer factorizations of periodic systems [PDF]
A numerically reliable state space algorithm is proposed for computing inner-outer factorizations of causal periodic descriptor systems. The main computational ingredients are the computation of a special condensed Kronecker-like form of periodic ...
Varga, Andreas, Andreas Varga
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In this paper, we study the existence and uniqueness of positive solutions for the periodic boundary value problems of a class of first order ordinary differential equations.
HE Ting
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New results for Brillouin electron beam focusing system
An experimental conjecture on the existence of positive periodic solutions for the Brillouin electron beam focusing system x ″ + a ( 1 + cos 2 t ) x = 1 x $x''+a(1+\cos 2t)x=\frac{1}{x}$ for a ∈ ( 0 , 1 2 ) $a\in(0,\frac{1}{2})$ is proved by applications
Zhibo Cheng, Shaowen Yao
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Computation of Minimal Realizations of Periodic Systems [PDF]
We propose balancing related numerically reliable methods to compute minimal realizations of linear periodic systems with time-varying dimensions. The first method belongs to the family of square-root methods with guaranteed enhanced computational ...
Varga, A.
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Locally periodic unfolding method and two-scale convergence on surfaces of locally periodic microstructures [PDF]
In this paper we generalize the periodic unfolding method and the notion of two-scale convergence on surfaces of periodic microstructures to locally-periodic situations.
Ptashnyk, Mariya +2 more
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In this paper, we consider the existence of positive solutions of a nonlinear second-order periodic problem. The proofs of the main results are based on the fixed point index theory in cones.
LI Zhao-Qian
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Positive periodic solutions of second-order differential equations
The authors consider the second-order nonlinear differential equation \[ x''(t)+a(t)x'(t)+f(t,x(t))=0, \] where \(a(t)\in C(\mathbb{R},\mathbb{R})\), \(a(t+\omega)\equiv a(t)\), \(f(t,u)\in C(\mathbb{R}\times\mathbb{R},\mathbb{R})\), \(f(t+\omega,u)\equiv f(t,u)\) and investigate existence of positive periodic solutions using a fixed point theorem for ...
Weibing Wang, Zhiguo Luo
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