Results 251 to 260 of about 3,975,149 (297)

Periodic Solutions of Periodic Systems

1994
In this chapter we study the existence, stability and isolation of periodic solutions belonging to n-dimensional systems of periodic nonlinear differential equations of the form ẋ = f (t, x) where f is periodic in t with some period T > 0: f (t + T, x) = f (t,x).
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Periodic and Unbounded Solutions of Periodic Systems

Bulletin of the Malaysian Mathematical Sciences Society
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Existence Theorems for Periodic Solutions and Almost Periodic Solutions

1975
First of all, we shall state some fixed point theorems without proofs. The following theorem is due to Brouwer. For the proof, see [5].
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Periodic and almost periodic solutions of integral equations

Applied Mathematics and Computation, 1999
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Donal O'Regan, Maria Meehan
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Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations

Applied Mathematics and Computation, 2015
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Josef Diblík, Michal Feckan, Martin Pospísil   +2 more
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A periodic solution of the takacs equation

Journal of Soviet Mathematics, 1986
Translation from Problems of stability of stochastic models, Proc. Semin., Moskva 1984, 27-34 (Russian) (1984; Zbl 0581.60085).
Afanas'eva, L. G., Lustina, A. A.
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On the existence of periodic solutions and almost periodic solutions for nonlinear systems

Nonlinear Analysis: Theory, Methods & Applications, 1995
The author presents dissipative type conditions which guarantee the existence and uniqueness of bounded, periodic and almost periodic solutions of a system \(x'= A(t, x)+ f(t)\), where the right-hand side is corresponding periodic or almost periodic.
Kato, Shigeo, Imai, Masato
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The Existence of Periodic Solutions of Perturbed Periodic Systems

SIAM Journal on Applied Mathematics, 1971
Conditions are obtained for the existence of a periodic solution to $\dot x = f( {t,x} ) + g( {t,x} )$, where f and g are periodic in t. The technique used is the application of a fixed-point theorem to the iterates of the period map.
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Periodic Solutions of Periodic Competitive and Cooperative Systems

SIAM Journal on Mathematical Analysis, 1986
Many mathematical models in the biological sciences give rise to the system \(x_ i'=F_ i(x,t)\), \(1\leq i\leq n\), \(x=(x_ 1,x_ 2,...,x_ n)\). The system is said to be cooperative or competitive according as \(\partial F_ i/x_ j\geq\) or \(\leq 0(i\neq j)\).
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Almost Periodic Solutions for Limit Periodic Systems

SIAM Journal on Applied Mathematics, 1972
A system of ordinary differential equations with limit periodic t-dependence has associated with it a sequence of approximating systems with periodic t-dependence. If each of these approximating systems has a periodic solution, sufficient conditions are given on these solutions under which the original system has an almost periodic solution. Additional
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