Results 71 to 80 of about 428,778 (188)

Continuity of the trace operator with respect to the domain and application to shape optimization [PDF]

, 2006
Shape optimization amounts to find the optimal shape of a domain which minimizes a given criterion, often called a cost functional. Here, we are interested in the case where the criterion is computed through the solution of a partial differential ...
Boulkhemair, A., Chakib, A., Nachaoui, A.   +2 more
core   +1 more source

Functional it{\^o} versus banach space stochastic calculus and strict solutions of semilinear path-dependent equations

, 2015
Functional It\^o calculus was introduced in order to expand a functional $F(t, X\_{\cdot+t}, X\_t)$ depending on time $t$, past and present values of the process $X$.
Cosso, Andrea, Russo, Francesco
core   +3 more sources

S-asymptotically periodic solutions for partial differential equations with finite delay

Electronic Journal of Differential Equations, 2011
In this article, we give some sufficient conditions for the existence and uniqueness of S-asymptotically periodic (mild) solutions for some partial functional differential equations.
William Dimbour, Gisele Mophou, Gaston M. N'Guerekata   +2 more
doaj  

Remarks on a New Variable-Coefficient Integro-Differential Equation via Inverse Operators

Fractal and Fractional
In this paper, we investigate functional inverse operators associated with a class of fractional integro-differential equations. We further explore the existence, uniqueness, and stability of solutions to a new integro-differential equation featuring ...
Chenkuan Li, Nate Fingas, Ying Ying Ou
doaj   +1 more source

Perron's theorem for nondensely defined partial functional differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2017
The aim of this work is to establish a Perron type theorem for some nondensely defined partial functional differential equations with infinite delay. More specifically, we show that if the nonlinear delayed part is "small" (in a sense to be made precise ...
Nadia Drisi, Brahim Es-sebbar, Khalil Ezzinbi   +2 more
doaj   +1 more source

Theory of a general class of dissipative processes [PDF]

General theory of dissipative periodic processes for systems defined by partial, functional, or neutral differential ...
Hale, J. K., La Salle, J. P., Slemrod, M.   +2 more
core   +1 more source

Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods

Advances in Mathematical Physics, 2014
We apply the functional variable method, exp-function method, and (G′/G)-expansion method to establish the exact solutions of the nonlinear fractional partial differential equation (NLFPDE) in the sense of the modified Riemann-Liouville derivative.
Özkan Güner, Dursun Eser
doaj   +1 more source

Legendre-Tau approximations for functional differential equations [PDF]

The numerical approximation of solutions to linear functional differential equations are considered using the so called Legendre tau method. The functional differential equation is first reformulated as a partial differential equation with a nonlocal ...
Ito, K., Teglas, R.
core   +1 more source

Functional Forms for Lorentz Invariant Velocities

Mathematics
Lorentz invariance lies at the very heart of Einstein’s special relativity, and both the energy formula and the relative velocity formula are well-known to be invariant under a Lorentz transformation.
James M. Hill
doaj   +1 more source

On stability of solutions of equations of interaction between elastic walls of channels and affluent liquid

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
In this article the dynamical stability of elastic walls of plane channels under flowing of the perfect liquid is investigated on the basis of mathematical models.
Andrey V Ankilov, Petr A Velmisov
doaj