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Lyapunov theorems for measure functional differential equations via Kurzweil-equations
(Wiley-VCH Verlag GmbHWeinheim, 2015)
We consider measure functional differential equations (we write measure FDEs) of the form Dx = f ('X IND. T', t)Dg, where f is Perron–Stieltjes integrable, 'X IND. T' is given by 'X IND. T'(θ) = x(t + θ), θ ∈ [−r, 0], with ...
On exponential stability of functional differential equations with variable impulse perturbations
(Khayyam PublishingAthens, 2014)
We consider a class of functional differential equations subject to perturbations, which vary in time, and we study the exponential stability of solutions of these equations using the theory of generalized ordinary ...
Identifiability and Stability of an Inverse Problem Involving a Fredholm Equation
(Shanghai Scientific Technology Literature, 2015)
The authors study a linear inverse problem with a biological interpretation, which is modelled by a Fredholm integral equation of the first kind, where the kernel is represented by step functions. Based on different ...
Fractional calculus for differential equationsCálculo fraccionario para ecuaciones diferenciales
(USFQ PRESS, departamento editorial de la Universidad San Francisco de Quito USFQ, 2021)
A generalized Riemann- Stieltjes integral on time scales and discontinuous dynamical equations
(2011-05-02)
This paper is concerned with a generalization of the Riemann- Stieltjes integral on time scales for deal with some aspects of discontinuous dynamic equations in which Riemann-Stieltjes integral does not works. © 2011 ...
A generalized Riemann- Stieltjes integral on time scales and discontinuous dynamical equations
(2011-05-02)
This paper is concerned with a generalization of the Riemann- Stieltjes integral on time scales for deal with some aspects of discontinuous dynamic equations in which Riemann-Stieltjes integral does not works. © 2011 ...
STOCHASTIC INTEGRATION WITH RESPECT TO THE CYLINDRICAL WIENER PROCESS VIA REGULARIZATION
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2013)
Partial Differential Equations as Three-Dimensional Inverse Problem of Moments
(David Publishing, 2014-10)
We considerer partial differential equations of second order, for example the Klein-Gordon equation, the Poisson equation, on a region E= (a1, b1)x(a2, b2)x(a3, b3). We will see that with a common procedure in all cases, ...
Self-dual hopfions
(Springer, 2010-03-01)
We construct static and time-dependent exact soliton solutions with nontrivial Hopf topological charge for a field theory in 3 + 1 dimensions with the target space being the two dimensional sphere S(2). The model considered ...