Results 21 to 30 of about 210,435 (290)
Singular Volterra integral equations
Applied Mathematics Letters, 2000 AbstractExistence results are presented for the singular Volterra integral equation y(t) = h(t) + ∫0t k(t, s) f(s, y(s)) ds, for t ∈ [0,T]. Here f may be singular at y = 0. As a consequence new results are presented for the nth order singular initial value problem.
Agarwal, R.P., O'Regan, D.
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Generalised Dirichelt-to-Neumann map in time dependent domains [PDF]
, 2012 We study the heat, linear Schrodinger and linear KdV equations in the domain l(t) < x < ∞, 0 < t < T, with prescribed initial and boundary conditions and with l(t) a given differentiable function.
Baratella +11 more
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On a perturbed Volterra integral equation
Journal of Mathematical Analysis and Applications, 1970 AbstractFor the Volterra integral equation x(t) = f(t) − ∝0t a(t, s)(x(s) + g[s, x(s)]) ds, if the resolvent kernel of a(t, s) is sufficiently well-behaved, and if ¦g(t, x)¦ → 0 as t → ∞ in some sense, then ¦x(t) − y(t)¦ → 0 as t → ∞, where y(t) is the solution of y(t) = f(t) − ∝0t a(t, s) y(s) ds.
Aaron Strauss, Aaron Strauss
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A Numerical Method for Weakly Singular Nonlinear Volterra Integral Equations of the Second Kind
Symmetry, 2020 This paper presents a numerical iterative method for the approximate solutions of nonlinear Volterra integral equations of the second kind, with weakly singular kernels.
Sanda Micula
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Stochastic Volterra integral equations with a parameter
Advances in Difference Equations, 2017 In this paper, we study the properties of continuity and differentiability of solutions to stochastic Volterra integral equations and backward stochastic Volterra integral equations depending on a parameter.
Yanqing Wang
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A Unified Approach to Some Classes of Nonlinear Integral Equations
Journal of Function Spaces, 2014 We are going to discuss some important classes of nonlinear integral equations such as integral equations of Volterra-Chandrasekhar type, quadratic integral equations of fractional orders, nonlinear integral equations of Volterra-Wiener-Hopf type, and ...
Nurgali K. Ashirbayev +2 more
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Symmetry, 2020 In this study, we present a spectral method for solving nonlinear Volterra integral equations with weakly singular kernels based on the Genocchi polynomials.
E. Hashemizadeh, M. Ebadi, S. Noeiaghdam
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of integral equations and applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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MODIFIED QUASI SIMPS0N 'S 3/8 RULE FOR SOLVING SYSTEM OF INTEGRAL EQUATION OF THE SECOND KIND LINEAR [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2012 Actually, it is possible to solve systems of integral equation by using many approaches. However, in this study, the modified quasi Simpson's 3/8 rule used to find the numerical solution of a system of linear Volterra integral equations of the second ...
Mohammed Yosuf Turki
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A Müntz-Collocation Spectral Method for Weakly Singular Volterra Integral Equations [PDF]
Journal of Scientific Computing, 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)-μ ...
Dianming Hou +3 more
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