Results 11 to 20 of about 7,526 (199)
Controlled Singular Volterra Integral Equations and Pontryagin Maximum Principle [PDF]
SIAM Journal on Control and Optimization, 2020 30 ...
Lin, Ping, Yong, Jiongmin
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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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Collocation Solutions of a Weakly Singular Volterra Integral Equation
Trends in Computational and Applied Mathematics, 2007 The discrete superconvergence properties of spline collocation solutions for a certain Volterra integral equation with weakly singular kernel are analyzed.
T. Diogo, P. Lima
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Nondecreasing solutions of a quadratic singular Volterra integral equation
Mathematical and Computer Modelling, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Banaś, J., Rzepka, B.
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Singular Hammerstein-Volterra Integral Equation and Its Numerical Processing
Journal of Applied Mathematics and Physics, 2021 In this paper, the existence and uniqueness of solution of singular Hammerstein-Volterra integral equation (H-VIE) are considered. Toeplitz matrix (TMM) and product Nystrom method (PNM) to solve the H-VIE with singular logarithmic kernel are used. The absolute error is calculated.
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Singular Control of Stochastic Volterra Integral Equations
Acta Mathematica Scientia, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agram, Nacira +3 more
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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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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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Rough Volterra equations 1: the algebraic integration setting [PDF]
, 2008 We define and solve Volterra equations driven by an irregular signal, by means of a variant of the rough path theory called algebraic integration. In the Young case, that is for a driving signal with H\"older exponent greater than 1/2, we obtain a global
Deya, Aurélien, Tindel, Samy
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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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