Results 11 to 20 of about 307 (168)
Singular Volterra integral equations
Applied Mathematics Letters, 2000 The authors study the existence of a nonnegative solution to the Volterra integral equation \[ y(t) = h(t)+ \int_0^t k(t,s)f(s,y(s)) ds,\quad t\in [0,T], \] where the nonlinearity \(f(t,y)\) may be singular at \(y=0\). The assumptions used are such that they easily get a result on the existence of a solution of the singular initial value problem \(y ...
Agarwal, R.P., O'Regan, D.
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Volterra integral equations: the singular case
Hokkaido Mathematical Journal, 2003 The authors are concerned with the investigation of singular Volterra integral equations of the form \[ y(t)= \int^t_0 k(t, s) f(s,y(s))\,ds,\quad t\in [0,T]. \] The singularity feature appears in the nonlinearity \(f(t,y)\), which may admit a nonregular behavior at \(y= 0\).
AGARWAL, Ravi P., O'REGAN, Donal
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Numerical Treatment of Abel’s Integral Equations Via Chelyshkov Wavelets Collocation Technique [PDF]
Computational Algorithms and Numerical DimensionsThis study presents a method to solve weakly singular Volterra integral equations using an approximation approach. The method relies on Chelyshkov wavelet polynomials. The characteristics of the Chelyshkov wavelet are presented.
Youssef Esmaiel +2 more
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Comparative analysis of the influence of creep of concrete composite beams of steel - concrete model based on Volterra integral equation [PDF]
Građevinski Materijali i Konstrukcije, 2017 The paper presents analysis of the stress-strain behaviour and deflection changes due to creep in statically determinate composite steel-concrete beam according to EUROCODE 2, ACI209R-92 and Gardner&Lockman models.
Partov Doncho, Kantchev Vesselin
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Mathematical Modelling and Analysis, 2017 We study general cordial Volterra integral equations of the second kind and certain singular fractional integro-differential equation in spaces of analytic functions.
Urve Kangro
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On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations
Mathematics, 2022 An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
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Singular Integral Equations of the Volterra Type [PDF]
Transactions of the American Mathematical Society, 1914 Equations of the form (1) sometimes arise,1: however, for which the conditions of Evans's theorem are not satisfied. Various cases in which this is true are considered in the present paper. In each instance an attempt is made not merely to prove the existence of a continuous solution, but also to determine its behavior for large values of x.
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Ulam–Hyers stabilities of a differential equation and a weakly singular Volterra integral equation
Journal of Inequalities and Applications, 2021 In this work we study the Ulam–Hyers stability of a differential equation. Its proof is based on the Banach fixed point theorem in some space of continuous functions equipped with the norm ∥ ⋅ ∥ ∞ $\|\cdot \|_{\infty }$ . Moreover, we get some results on
Ozgur Ege, Souad Ayadi, Choonkil Park
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Axioms, 2022 This article investigates an equation with a rapidly oscillating inhomogeneity and with a rapidly decreasing kernel of an integral operator of Fredholm type.
Dana Bibulova +2 more
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International Journal of Differential Equations, 2018 An analytical-approximate method is proposed for a type of nonlinear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method (FDTM).
Rezvan Ghoochani-Shirvan +2 more
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