Results 31 to 40 of about 444 (85)
The Existence of Monotonic Solutions of a Class of Quadratic Integral Equations of Volterra Type
Journal of Mathematics and Applications, 2019 Using the technique associated with measure of noncompactness we prove the existence of monotonic solutions of a class of quadratic integral equation of Volterra type in the Banach space of real functions defined and continuous on a bounded and closed ...
Osman Karakurt, Ö. Temizer
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An existence theorem for a Volterra integral equation with deviating arguments
International Journal of Stochastic Analysis, Volume 3, Issue 3, Page 155-162, 1990., 1990 An existence theorem is proved for a nonlinear Volterra integral equation with deviating arguments.
K. Balachandran, S. Ilamaran
wiley +1 more source
On a Volterra Stieltjes integral equation
International Journal of Stochastic Analysis, Volume 3, Issue 3, Page 177-191, 1990., 1990 The paper deals with a study of linear Volterra integral equations involving Lebesgue‐Stieltjes integrals in two independent variables. The authors prove an existence theorem using the Banach fixed‐point principle. An explicit example is also considered.
P. T. Vaz, S. G. Deo
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Continuity, compactness, fixed points, and integral equations [PDF]
, 2002 An integral equation, $x(t)=a(t)-\int^t_{-\infty} D(t,s)g(x(s))ds$ with $a(t)$ bounded, is studied by means of a Liapunov functional. There results an a priori bound on solutions.
Burton, Theodore, Makay, Géza
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Periodic solutions of Volterra integral equations
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 4, Page 781-792, 1988., 1987 Consider the system of equations and Existence of continuous periodic solutions of (1) is shown using the resolvent function of the kernel k. Some important properties of the resolvent function including its uniqueness are obtained in the process. In obtaining periodic solutions of (1) it is necessary that the resolvent of k is integrable in some sense.
M. N. Islam
wiley +1 more source
, 2018 We present a new rheological model depending on a real parameter $\nu \in [0,1]$ that reduces to the Maxwell body for $\nu=0$ and to the Becker body for $\nu=1$.
Mainardi, Francesco +2 more
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WKB Approximation to the Power Wall [PDF]
, 2013 We present a semiclassical analysis of the quantum propagator of a particle confined on one side by a steeply, monotonically rising potential. The models studied in detail have potentials proportional to $x^{\alpha}$ for $x>0$; the limit $\alpha\to\infty$
Bouas, J. D. +3 more
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Subexponential solutions of scalar linear integro-differential equations with delay [PDF]
, 2004 This paper considers the asymptotic behaviour of solutions of the scalar linear convolution integro-differential equation with delay x0(t) = − n Xi=1 aix(t − i) + Z t 0 k(t − s)x(s) ds, t > 0, x(t) = (t), − t 0, where = max1in i.
Appleby, John A.D. +2 more
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A generalization of the Lomnitz logarithmic creep law via Hadamard fractional calculus
, 2017 We present a new approach based on linear integro-differential operators with logarithmic kernel related to the Hadamard fractional calculus in order to generalize, by a parameter $\nu \in (0,1]$, the logarithmic creep law known in rheology as Lomnitz ...
Garra, Roberto +2 more
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A M\"untz-Collocation spectral method for weakly singular volterra integral equations [PDF]
, 2019 In this paper we propose and analyze a fractional Jacobi-collocation spectral method for the second kind Volterra integral equations (VIEs) with weakly singular kernel $(x-s)^{-\mu ...
Azaiez, Mejdi +3 more
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