Results 221 to 230 of about 42,874 (261)

Integro-Differential Equations

1992
The aim of this chapter is to extend some results of Chapters 1 – 7 concerning boundedness, convergence and quasiconvergence to a class of integro-differential equations with retarded argument which arises from phase synchronization problems. Our aim is to apply ordinary differential equation methods such as the Bakaev-Guzh technique and non-local ...
Gennadij A. Leonov, Volker Reitmann, Vera B. Smirnova   +2 more
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Fredholm integro-differential equation

Journal of Soviet Mathematics, 1993
See the review in Zbl 0674.65107.
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Symmetries of integro-differential equations

Reports on Mathematical Physics, 2001
A new general method is presented for the determination of Lie symmetry groups of integro-differential equation. The suggested method is a natural extension of the Ovsiannikov method developed for differential equations. The method leads to important applications for instance to the Vlasov-Maxwell equations.
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On a class of integro-differential equations

Mathematical Proceedings of the Cambridge Philosophical Society, 1944
We are concerned in this paper with linear integro-differential equations of the form*andwhere kr(y) are given functions with bounded variation in any finite interval, g(x) is known, and f(x) is to be determined.
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Integro-differential equations with multivalued solutions

Ukrainian Mathematical Journal, 2000
This paper deals with the following system of integro-differential equations: \[ D_hX(t)=F\left(t,X(t),\int_{0}^{t}\Phi(t,s,X(s)) ds\right),\quad X(0)=X^0, \tag{1} \] where \(X(\cdot):\mathbb R \to \text{Conv}(\mathbb R^n), F(\cdot,\cdot,\cdot):\mathbb R\times \text{Conv}(\mathbb R^n)\times \text{Conv}(\mathbb R^n)\to\text{Conv}(\mathbb R^n), \Phi ...
A. V. Tumbrukaki, Andrej V. Plotnikov
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On a nonclassical integro-differential equation [PDF]

Differential Equations, 2015
We study an initial–boundary value problem for a nonclassical equation and obtain sufficient conditions for the time-local and time-global solvability. In the case of time-local (but nonglobal) solvability, we find upper and lower bounds for the solution lifespan.
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On a class of linear integro-differential equations

Mathematical Proceedings of the Cambridge Philosophical Society, 1947
This paper is a sequel to a previous one(1) with the same title which dealt with the general solution of equations of the typeWe consider here the more general equationwhere g(x) is a given function. We are interested particularly in the existence and uniqueness of solutions of the latter equation and show how these are related to the closure and ...
H. R. Pitt, W. V. D. Hodge
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