Results 31 to 40 of about 42,874 (261)

Free integro-differential algebras and Groebner-Shirshov bases [PDF]

open access: yes, 2014
The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Gao, Xing, Guo, Li, Rosenkranz, Markus
core   +3 more sources

Oscillatory processes in the theory of particulate formation in supersaturated chemical solutions [PDF]

open access: yes, 1975
We study a nonlinear problem which occurs in the theory of particulate formation in supersaturated chemical solutions. Mathematically, the problem involves the bifurcation of time-periodic solutions in an initial-boundary value problem involving a ...
Cohen, Donald S., Keener, James P.
core   +1 more source

Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schr\"odinger Eqaution

open access: yes, 1997
Correlation functions of exactly solvable models can be described by differential equation [Barough, McCoy, Wu]. In this paper we show that for non free fermionic case differential equations should be replaced by integro-differential equations.
Kojima, T., Korepin, V., Slavnov, N.
core   +2 more sources

Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]

open access: yes, 2005
Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
core   +1 more source

On the Reduction of Integro-Differential Equations [PDF]

open access: yesTransactions of the American Mathematical Society, 1914
which is satisfied by the potential V of an electric field in an isotropic medium, in the so-called " static case " of hysteresis.t By solving this equation, regarded as an integral equation, for V2V, we are led to the differential equation of Poisson to determine V.
openaire   +2 more sources

An integro-differential equation [PDF]

open access: yesProceedings of the American Mathematical Society, 1980
The vector equation \[ x ′ ( t ) = A ( t ) x ( t ) + ∫ 0 t C ( t , s ) D ( x ( s ) )
openaire   +1 more source

On the Stability of Delay Integro-Differential Equations [PDF]

open access: yesMathematical and Computational Applications, 2007
Some new stability results are given for a delay integro-differential equation. A basis theorem on the behavior of solutions of delay integro-differential equations is established. As a consequence of this theorem, a stability criterion is obtained.
YALÇINBAŞ, SALİH   +1 more
openaire   +2 more sources

Front motion for phase transitions in systems with memory

open access: yes, 2000
We consider the Allen-Cahn equations with memory (a partial integro-differential convolution equation). The prototype kernels are exponentially decreasing functions of time and they reduce the integrodifferential equation to a hyperbolic one, the damped ...
Aizicovici   +17 more
core   +1 more source

Regularity theory for fully nonlinear integro-differential equations [PDF]

open access: yes, 2008
We consider nonlinear integro-differential equations, like the ones that arise from stochastic control problems with purely jump L\`evy processes.
Caffarelli, Luis, Silvestre, Luis
core   +3 more sources

Numerical method for a system of integro-differential equations and convergence analysis by Taylor collocation

open access: yesAin Shams Engineering Journal, 2018
In this paper, we present the Taylor polynomial solutions of system of higher order linear integro-differential Volterra-Fredholm equations (IDVFE). This method transforms IDVFE into the matrix equations which correspond to a system of linear algebraic ...
Yousef Jafarzadeh, Bagher Keramati
doaj   +1 more source

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