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Almost Periodic Solutions for Stepanov-Almost Periodic Differential Equations
Differential Equations and Dynamical Systems, 2013The paper considers the following differential equations in a Banach space \[ \displaylines{u^{(n)}(t) = Au(t) + f(t)\;,\;u^{(n)}(t) = Au(t) + f(t,u(t))\cr u'(t) = Au(t) + f(t)\;,\;u'(t) = Au(t) + f(t,u(t))} \] with \(A\) either a bounded linear operator or the infinitesimal generator of an exponentially stable continuous semigroup; \(f:\mathbb{R ...
Maqbul, Md., Bahuguna, D.
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Almost-periodic solutions of impulse systems
Ukrainian Mathematical Journal, 1987Some sufficient conditions for almost periodicity of solutions and for regularity of impulse differential operators are given.
Perestyuk, N. A., Akhmetov, M. U.
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Almost Periodic Solutions for Limit Periodic Systems
SIAM Journal on Applied Mathematics, 1972A 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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Zeitschrift für Analysis und ihre Anwendungen, 2007
In this paper we study the existence of \ap\ and \aap\ solutions for a class of partial neutral functional integro-differential equation with unbounded delay.
Henríquez, Hernán +2 more
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In this paper we study the existence of \ap\ and \aap\ solutions for a class of partial neutral functional integro-differential equation with unbounded delay.
Henríquez, Hernán +2 more
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Nonlinear Analysis: Real World Applications, 2010
Results concerning existence and uniqueness of almost periodic, asymptotically almost periodic, and pseudo-almost periodic mild solutions are provided for the following neutral differential equation in a Banach space \(X\) \[ \frac{d}{dt}\;u(t)=Au(t) + \frac{d}{dt}\;F_1(t, u(h_1(t))) + F_2(t,u(h_2(t))), \quad t\in \mathbb{R}, \] where \(A\) is the ...
Zhao, Zhi-Han +2 more
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Results concerning existence and uniqueness of almost periodic, asymptotically almost periodic, and pseudo-almost periodic mild solutions are provided for the following neutral differential equation in a Banach space \(X\) \[ \frac{d}{dt}\;u(t)=Au(t) + \frac{d}{dt}\;F_1(t, u(h_1(t))) + F_2(t,u(h_2(t))), \quad t\in \mathbb{R}, \] where \(A\) is the ...
Zhao, Zhi-Han +2 more
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2011
This chapter presents existence and stability of almost periodic solutions of the following system \( {\frac{dx(t)}{dt}} = A(t)x(t) + f(t,x(\theta_{\upsilon (t) - p1} ),x(\theta_{\upsilon (t) - p2} ), \ldots ,x(\theta_{\upsilon (t) - pm} )), \) (7.1) where \( x \in \mathbb{R}^{n} ,\;t \in \mathbb{R}, \) υ(t) = 1 if θ i ≤ t < θ i+1, i = …,-2,-1,0,1,2,…,
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This chapter presents existence and stability of almost periodic solutions of the following system \( {\frac{dx(t)}{dt}} = A(t)x(t) + f(t,x(\theta_{\upsilon (t) - p1} ),x(\theta_{\upsilon (t) - p2} ), \ldots ,x(\theta_{\upsilon (t) - pm} )), \) (7.1) where \( x \in \mathbb{R}^{n} ,\;t \in \mathbb{R}, \) υ(t) = 1 if θ i ≤ t < θ i+1, i = …,-2,-1,0,1,2,…,
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2012
In the present chapter, we shall state some basic existence and uniqueness results for almost periodic solutions of impulsive differential equations. Applications to real world problems will also be discussed.
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In the present chapter, we shall state some basic existence and uniqueness results for almost periodic solutions of impulsive differential equations. Applications to real world problems will also be discussed.
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Almost Periodic Solutions of Functional Equations
Journal of Mathematical Sciences, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Almost periodic homogeneous linear difference systems without almost periodic solutions
Journal of Difference Equations and Applications, 2012Almost periodic homogeneous linear difference systems are considered. It is supposed that the coefficient matrices belong to a group. The aim was to find such groups that the systems having no non-trivial almost periodic solution form a dense subset of the set of all considered systems.
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Discontinuous Almost Periodic Solutions
2019The research of discontinuous almost periodic solutions is much more complicated than that for the continuous counterpart. It requests significant development of not only properties for the functions themselves, but also new conditions for the impulsive systems, which suppose to admit the solutions.
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