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Stochastic Functional (Partial) Differential Equations
2013In this chapter we investigate Harnack/shift Harnack inequalities and derivative formulas for stochastic functional differential equations. In this case, the strong or mild solution is no longer Markovian. These inequalities and formulas are therefore established for the semigroup associated with the functional (or segment) solutions.
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Carathéodory Functions in Partial Differential Equations
2016We show how Caratheodory functions can be used in solving problems in partial differential equations.
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Exponential stability for stochastic neutral partial functional differential equations
Journal of Mathematical Analysis and Applications, 2009Jiaowan Luo
exaly
Existence for a class of partial functional differential equations with infinite delay
Nonlinear Analysis: Theory, Methods & Applications, 2001Mostafa Adimy, Hassane Bouzahir
exaly
Communications in Nonlinear Science and Numerical Simulation, 2014
Andrei D Polyanin, Alexei I Zhurov
exaly
Andrei D Polyanin, Alexei I Zhurov
exaly
Local existence and stability for some partial functional differential equations with infinite delay
Nonlinear Analysis: Theory, Methods & Applications, 2002Mostafa Adimy, Hassane Bouzahir
exaly

