Dichotomy and μ‐pseudo almost automorphic solutions for delayed partial functional differential equations in admissible spaces
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DOI: 10.1002/mana.201800134
Abstract: We prove the existence and uniqueness of μ‐pseudo almost automorphic solution for a delayed non‐autonomous partial functional differential equation in the exponential dichotomic case, where the nonlinear operator F satisfies the φ‐Lipschitz condition and φ… read more here.
Keywords: functional differential; dichotomy pseudo; admissible spaces; partial functional ... See more keywords
Periodic Perturbations of a Class of Functional Differential Equations
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DOI: 10.1007/s10884-020-09928-2
Abstract: We study the existence of a connected “branch” of periodic solutions of T -periodic perturbations of a particular class of functional differential equations on differentiable manifolds. Our result is obtained by a combination of degree-theoretic… read more here.
Keywords: functional differential; class functional; equations periodic; differential equations ... See more keywords
On the Unique Solvability of a Nonlinear Nonlocal Boundary-Value Problem for Systems of Second-Order Functional Differential Equations
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DOI: 10.1007/s10958-017-3352-1
Abstract: We establish some optimal, in a certain sense, general conditions sufficient for the unique solvability of the boundary-value problem for a system of nonlinear second-order functional differential equations. The considered class of equations covers, in… read more here.
Keywords: order functional; second order; value problem; boundary value ... See more keywords
The Bohl–Perron Theorem for Hybrid Linear Systems with Aftereffect
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DOI: 10.1007/s10958-018-3788-y
Abstract: We consider an abstract hybrid system of functional-differential equations. Both equations are functional-differential with respect to one part of variables and difference with respect to to the other part of variables. To the system of… read more here.
Keywords: system; perron theorem; theorem hybrid; functional differential ... See more keywords
On the Asymptotic Properties of Solutions of Functional-Differential Equations with Linearly Transformed Argument
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DOI: 10.1007/s10958-018-4108-2
Abstract: We establish new properties the of solutions of functional-differential equation with linearly transformed argument read more here.
Keywords: properties solutions; transformed argument; solutions functional; linearly transformed ... See more keywords
Asymptotic Bounds for the Solutions of a Functional-Differential Equation with Linearly Transformed Argument
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DOI: 10.1007/s10958-019-04230-z
Abstract: We establish new properties of solutions of a functional-differential equation with linearly transformed argument. read more here.
Keywords: functional differential; differential equation; linearly transformed; solutions functional ... See more keywords
Analysis of Fractional Functional Differential Equations of Neutral Type with Nonlocal Conditions
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DOI: 10.1007/s12591-016-0290-1
Abstract: This work deals with the existence of solutions for a class of nonlinear nonlocal fractional functional differential equations of neutral type in Banach spaces. In particular, we prove the existence of solutions with the assumptions… read more here.
Keywords: neutral type; equations neutral; analysis fractional; differential equations ... See more keywords
Periodic Solutions for Some Nondensely Nonautonomous Partial Functional Differential Equations in Fading Memory Spaces
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DOI: 10.1007/s12591-016-0331-9
Abstract: The aim of this work is to study the existence of a periodic solution for some nondensely nonautonomous partial functional differential equations with infinite delay in Banach spaces. We assume that the linear part is… read more here.
Keywords: partial functional; nondensely nonautonomous; solution; differential equations ... See more keywords
Transportation inequalities for fractional stochastic functional differential equations driven by fractional Brownian motion
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DOI: 10.1007/s13370-018-0560-x
Abstract: Using the method of Girsanov transformation, we establish the transportation inequalities, with respect to the uniform distance, for the law of the mild solution of fractional stochastic functional differential equations driven by fractional Brownian motion.… read more here.
Keywords: fractional stochastic; stochastic functional; differential equations; transportation inequalities ... See more keywords
Periodic Solutions for Non-Autonomous Neutral Functional Differential Equations with Finite Delay
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DOI: 10.1007/s40306-017-0208-1
Abstract: In this work, we study the existence of periodic solutions for some non-autonomous nonlinear partial functional differential equation of neutral type. We assume that the linear part is non-densely defined and generates an evolution family… read more here.
Keywords: periodic solutions; non autonomous; neutral functional; autonomous neutral ... See more keywords
Existence of Nonoscillatory Solutions for Fractional Functional Differential Equations
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DOI: 10.1007/s40840-017-0511-y
Abstract: In this paper, we develop sufficient criteria for the existence of a nonoscillatory solution to the fractional neutral functional differential equation of the form: $$\begin{aligned} D^{\alpha }_t[x(t)+c x(t-\tau )]'+\sum ^m_{i=1}P_i(t)F_i(x(t-\sigma _i))=0,\quad t\ge t_0, \end{aligned}$$Dtα[x(t)+cx(t-τ)]′+∑i=1mPi(t)Fi(x(t-σi))=0,t≥t0,where $$D_t^{\alpha… read more here.
Keywords: functional differential; nonoscillatory solutions; solutions fractional; existence nonoscillatory ... See more keywords