Results 61 to 70 of about 691,926 (188)
Reducible functional differential equations
International Journal of Mathematics and Mathematical Sciences, 1985 This is the first part of a survey on analytic solutions of functional differential equations (FDE). Some classes of FDE that can be reduced to ordinary differential equations are considered since they often provide an insight into the structure of ...
S. M. Shah, Joseph Wiener
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Approximations for many-body Green's functions: insights from the fundamental equations
, 2012 Several widely used methods for the calculation of band structures and photo emission spectra, such as the GW approximation, rely on Many-Body Perturbation Theory.
Abramowitz M +13 more
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Oscillation of certain functional differential equations [PDF]
Computers & Mathematics with Applications, 1994 The author presents several sufficient conditions for all bounded solutions to the linear system of delay differential equations \[ (-1)^{m+1}\frac {d^m y_i(t)}{d t^m}+\sum _{j=1}^{n}q_{ij}y_i(t-h_{ij})=0, \quad m\geq 1,\;i=1,2,\dots,n, \] to be oscillatory.
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Asymptotic behavior of solutions of a partial functional differential equation
Electronic Journal of Differential Equations, 2000 The asymptotic behavior of solutions of an asymptotically autonomous partial functional differential equation is investigated. The aim of the present paper is to extend our earlier result for ordinary functional differential equations and difference ...
Gyula Farkas
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Resolvent of nonautonomous linear delay functional differential equations
Nonautonomous Dynamical Systems, 2015 The aim of this paper is to give a complete proof of the formula for the resolvent of a nonautonomous linear delay functional differential equations given in the book of Hale and Verduyn Lunel [9] under the assumption alone of the continuity of the right-
Blot Joël, Koné Mamadou I.
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Oscillation of a perturbed nonlinear third order functional differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this paper, the authors present some new results on the oscillatory and asymptotic behavior of solutions of the perturbed nonlinear third order functional differential equation $$ \left( b(t)\left( a(t)(x^{\prime }(t))^{\alpha }\right) ^{\prime ...
Said Grace, John Graef
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On solutions of differential and functional equations Final report [PDF]
Solutions of differential and functional ...
Proctor, T. G., Suber, H. H.
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Maximum Principle for Optimal Control of Neutral Stochastic Functional Differential Systems [PDF]
, 2013 In this paper, the optimal control problem of neutral stochastic functional differential equation (NSFDE) is discussed. A class of so-called neutral backward stochastic functional equations of Volterra type (VNBSFEs) are introduced as the adjoint ...
Wei, Wenning
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Stability theory for functional-differential equations [PDF]
Transactions of the American Mathematical Society, 1979 We consider a system of functional differential equations x ′ ( t ) = F ( t , x ( ⋅ ) ) x’\,(t)\, = \,\mathcal {F}\,(t,\,x( \cdot )) , together with a Liapunov functional
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Chandrasekhar equations for infinite dimensional systems [PDF]
Chandrasekhar equations are derived for linear time invariant systems defined on Hilbert spaces using a functional analytic technique. An important consequence of this is that the solution to the evolutional Riccati equation is strongly differentiable in
Ito, K., Powers, R. K.
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