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Stochastic Functional Differential Equation under Regime Switching

Discrete Dynamics in Nature and Society, 2012
We discuss stochastic functional differential equation under regime switching dx(t)=f(xt,r(t),t)dt+q(r(t))x(t)dW1(t)+σ(r(t))|x(t)|βx(t)dW2(t). We obtain unique global solution of this system without the linear growth condition; furthermore, we prove its ...
Ling Bai, Zhang Kai
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On the origin of quantum mechanics [PDF]

, 2005
Action at distance in Newtonian physics is replaced by finite propagation speeds in classical post--Newtonian physics. As a result, the differential equations of motion in Newtonian physics are replaced by functional differential equations, where the ...
Bohr, Born, Chicone, Chicone, Chicone, Chicone, Dirac, Einstein, El Naschie, El Naschie, El Naschie, Ford, Giné, Heisenberg, Hess, Hess, Jaume Giné, Landau, Michelson, Michelson, Nottale, Ord, Planck, Poincaré, Poincaré, Poincaré, Poincaré, Raju, Raju, Rutherford, Schrödinger, Schrödinger, Schrödinger, Sommerfeld, Sommerfeld, Svozil, van der Meer, ’t Hooft, ’t Hooft   +38 more
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Perturbed functional fractional differential equation of Caputo-Hadamard order [PDF]

Mathematica Moravica
In this paper, we investigate the existence of solution and extremal solutions for an initial-value problem of perturbed functional fractional differential equations with Caputo-Hadamard derivative.
Hamani Samira
doaj   +1 more source

On some properties of a system of nonlinear partial functional differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2016
We consider a system of a semilinear hyperbolic functional differential equation (where the lower order terms contain functional dependence on the unknown function) with initial and boundary conditions and a quasilinear elliptic functional differential ...
László Simon
doaj   +1 more source

On the origin of the gravitational quantization: The Titius--Bode Law

, 2005
Action at distance in Newtonian physics is replaced by finite propagation speeds in classical post--Newtonian physics. As a result, the differential equations of motion in Newtonian physics are replaced by functional differential equations, where the ...
Agnese, Agnese, Chicone, Chicone, Chicone, Chicone, de Oliveira Neto, de Oliveira Neto, de Oliveira Neto, El Naschie, El Naschie, Giné, Giné, Gulak, Gulak, Hayes, Jaume Giné, Llibre, Misner, Nottale, Nottale, Poincaré, Poincaré, Poincaré, Raju, Raju, Rubčić, Rubčić, Tomley, ’t Hooft   +29 more
core   +4 more sources

On the origin of the deflection of light [PDF]

, 2005
Action at distance in Newtonian physics is replaced by finite propagation speeds in classical post--Newtonian physics. As a result, the differential equations of motion in Newtonian physics are replaced by functional differential equations, where the ...
Assis, Assis, Assis, Bunchaft, Chicone, Chicone, Chicone, Chicone, Corinaldesi, Einstein, Einstein, El Naschie, El Naschie, El Naschie, El Naschie, El Naschie, Giné, Giné, Giné, Jaki, Jaume Giné, Newton, Nottale, Ord, Ragusa, Raju, Raju, Svozil, Tisserand, Tisserand, Weinberg   +30 more
core   +4 more sources

On the existence of classical solutions for differential-functional IBVP

Abstract and Applied Analysis, 1998
We consider the initial-boundary value problem for second order differential-functional equations of parabolic type. Functional dependence in the equation is of the Hale type. By using Leray-Schauder theorem we prove the existence of classical solutions.
Krzysztof A. Topolski
doaj   +1 more source

Oscillation of functional differential equations

Mathematical and Computer Modelling, 2005
Some new criteria for the oscillation of functional differential equations of the form, d/dt[1/a(n-1)(t) d/dt q (t) f (x [g (t)]) = 0, dt a._1 (t) Tt -a,,-2 (t) Tt -al(t) dt are presented in this paper. @ 2005 Elsevier Ltd. All rights reserved.
Agarwal, R. P., Grace, S.R., Kiguradze, I., O'Regan, D.   +3 more
openaire   +2 more sources

A Liapunov functional for a matrix neutral difference-differential equation with one delay [PDF]

, 1917
For the matrix neutral difference-differential equation ẋ(t) + Aẋ(t − τ)  Bx(t) + Cx(t − τ) we construct a quadratic Liapunov functional which gives necessary and sufficient conditions for the asymptotic stability of the solutions of that equation. We
Fukuchi, N., Iizuka, N., Kawai, K., Noda, S., Wakabayashi, H., Yamane, S., Ōoka, R.   +6 more
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SOLUTION OF FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY BY ADOMIAN DECOMPOSITION METHOD [PDF]

Iranian Journal of Optimization, 2009
Adomian decomposition method has been applied to solve many functional equations so far. In this article, we have used this method to solve the fuzzy differential equation under generalized differentiability. We interpret a fuzzy differential equation by
T. Allahviranloo, L. Jamshidi
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