Results 31 to 40 of about 7,526 (199)
To the solution of one pseudo-Volterra integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper, we study a homogeneous singular integral Volterra equation of the second kind (pseudoVolterra integral equation). The singularity of the integral equation is shown. Properties of its kernel are proved.
M.T. Jenaliyev +3 more
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Approximation Solution of Fuzzy Singular Volterra Integral Equation by Non-Polynomial Spline
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 A non-polynomial spline (NPS) is an approximation method that relies on the triangular and polynomial parts, so the method has infinite derivatives of the triangular part of the NPS to compensate for the loss of smoothness inherited by the polynomial. In
Zahraa A. Ibrahim, Nabaa N. Hasan
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Affine Volterra processes [PDF]
, 2019 We introduce affine Volterra processes, defined as solutions of certain stochastic convolution equations with affine coefficients. Classical affine diffusions constitute a special case, but affine Volterra processes are neither semimartingales, nor ...
Jaber, Eduardo Abi +2 more
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Fredholm and Volterra integral equations with integrable singularities
Hokkaido Mathematical Journal, 2004 The authors present a number of results on the existence of continuous nonnegative solutions \(y\) of the Fredholm equation \[ y(t) = \int_J k(t,s) f(s,y(s))\,ds, \quad t \in J, \tag{F} \] where either \(J = [0,1]\) or \(J = [0,\infty)\), and for the Volterra equation \[ y(t) = \int_0^t k(t,s) f(s,y(s))\,ds, \quad t \in [0,T].
AGARWAL, Ravi P., O'REGAN, Donal
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Conditioning bounds for traveltime tomography in layered media [PDF]
, 2011 This paper revisits the problem of recovering a smooth, isotropic, layered wave speed profile from surface traveltime information. While it is classic knowledge that the diving (refracted) rays classically determine the wave speed in a weakly well-posed ...
Abramowitz M +18 more
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Boundary Value Problems, 2018 We establish in this paper the equivalence between a Volterra integral equation of the second kind and a singular ordinary differential equation of the third order with two initial conditions and an integral boundary condition, with a real parameter ...
Mahdi Boukrouche, Domingo A. Tarzia
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On a New Class of Singular Integro-differential Equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
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, 2020 We investigate the probabilistic and analytic properties of Volterra processes constructed as pathwise integrals of deterministic kernels with respect to the H\"older continuous trajectories of Hilbert-valued Gaussian processes.
Benth, Fred E., Harang, Fabian A.
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Solutions of a number of integral single-core Volterra equations [PDF]
مجلة التربية والعلم, 2006 In this paper we study some different method for solving volterra integral equation with singular kernel of the first kind and expanded by using a method for finding the solution using Gamma function when f(x) is an algebraic function and α known.
Mohammed Hasso, Khairuddin Mustafa
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On Local Borg-Marchenko Uniqueness Results [PDF]
, 1999 We provide a new short proof of the following fact, first proved by one of us in 1998: If two Weyl-Titchmarsh m-functions, $m_j(z)$, of two Schr\"odinger operators $H_j = -\f{d^2}{dx^2} + q_j$, j=1,2 in $L^2 ((0,R ...
Gesztesy, F., Simon, B.
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