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Exact ODE Framework for Classical and Quantum Corrections for the Lennard-Jones Second Virial Coefficient. [PDF]

Entropy (Basel)
Zhao Z, González-Calderón A, Perera-Burgos JA, Estrada A, Hernández-Anguiano H, Martínez-Lázaro C, Li Y.   +6 more
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Linear Integral Equations

Mathematics of Computation, 1991
The paper is a general survey of linear integral equations of all kinds studied till now in the literature, both theoretical and applicative. The general plan of each type presentation is the underlining of its apparition, the general results obtained during its development, the major contributions of the authors working in the domain, the methods used
F. S., Rainer Kress
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Linear Volterra Integral Equations

Acta Mathematicae Applicatae Sinica, English Series, 2002
The authors apply the Kurzweil-Henstock integral formalism to give existence theorems for linear Volterra equations \[ x(t)+^{\ast}\int_{[a,t]}\alpha(s)x(s)\,ds=f(t),\qquad t\in[ a,b],\tag{1} \] where the functions \(x,f\)\ have values in the Banach space \(X\).
Federson, M., Bianconi, R., Barbanti, L.
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On the linear integrals of the chaplygin equations

Journal of Applied Mathematics and Mechanics, 1981
Abstract A geometrical property is established of the lines of congruence determined by the first integral of the dynamic equations of the nonholonomic Chaplygin system, with the integral linear with respect to the velocities. In the case of two degrees of freedom and active nonzero forms applied to the system, the property yields explicitly the ...
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On the Theory of Linear Integral Equations

Mathematical Proceedings of the Cambridge Philosophical Society, 1935
The object of this paper is to extend the ordinary theory of integral equations of the second kind to certain classes of more general kernels and functions, with special reference to equations of the Volterra type.
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Asymptotic Integrations of Linear Differential Equations

American Journal of Mathematics, 1955
where ,, = Im, y(t) = ym(t) and m 1, , d. This was proved by Perron (cf. [8], pp. 158-159) with the lim replaced by lim sup, but his method can be used to supply (iv) as it stands, cf. [7]. In view of known results ([2], [3]) for the case when (i) is equivalent to a second order differential equation, it is natural to ask under what conditions, weaker ...
Hartman, Philip, Wintner, Aurel
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Linear Integral Equations

2004
Definitions An integral equation is an equation in which the unknown function appears under the integral sign. There is no universal method for solving integral equations. Solution methods and even the existence of a solution depend on the particular form of the integral equation.
Ilja N. Bronshtein, Konstantin A. Semendyayev, Gerhard Musiol, Heiner Muehlig   +3 more
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Linear Integral Equations of the Third Kind

SIAM Journal on Mathematical Analysis, 1973
Linear integral equations of the third kind are studied as equations in two different spaces of generalized functions. In the first space $D_\tau $, which consists of linear combinations of delta functions and continuous functions, the equation of the third kind has properties similar to those of the Fredholm equation of the second kind.
Bart, G. R., Warnock, R. L.
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Series solutions to linear integral equations

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christopher S. Withers, Saralees Nadarajah   +1 more
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On strong stability for linear integral equations

Mathematical Systems Theory, 1973
The notion of strong or adjoint stability for linear ordinary differential equations is generalized to the theory of Volterra integral equations. It is found that this generalization is not unique in that equivalent definitions for differential equations lead to different stabilities for integral equations in general. Three types of stabilities arising
John M. Bownds, J. M. Cushing
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