Results 81 to 90 of about 25,523 (249)
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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An Inverse Source Technique as a Preliminary Tool to Localize Persons in Indoor Spaces
Mathematical Methods in the Applied Sciences, Volume 49, Issue 1, Page 304-320, 15 January 2026.ABSTRACT This paper considers an inverse heat source localization problem with applications to indoor person localization from temperature measurements. In particular, this inverse problem consists in the reconstruction of the intensity and position of heat sources from observed temperature data.
Simonetta Boria +5 more
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Applications of Normal S-Iterative Method to a Nonlinear Integral Equation
The Scientific World Journal, 2014 It has been shown that a normal S-iterative method converges to the solution of a mixed type Volterra-Fredholm functional nonlinear integral equation. Furthermore, a data dependence result for the solution of this integral equation has been proven.
Faik Gürsoy
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Research in the general area of non-linear dynamical systems Final report, 8 Jun. 1965 - 8 Jun. 1967 [PDF]
Nonlinear dynamical systems research on systems stability, invariance principles, Liapunov functions, and Volterra and functional integral ...
Hermes, H. +7 more
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Admissibility and Nonlinear Volterra Integral Equations [PDF]
Proceedings of the American Mathematical Society, 1970 Nonlinear perturbations of linear Volterra integral equations are studied in an abstract setting which contains and generalizes some earlier results on the same problem. The perturbed problem is first written as a variation of constants equation on a Fréchet space.
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On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation
Journal of Function Spaces, 2014 We study the existence of monotonic and nonnegative solutions of a nonlinear quadratic Volterra-Stieltjes integral equation in the space of real functions being continuous on a bounded interval. The main tools used in our considerations are the technique
Tomasz Zając
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Volterra-Choquet integral equations
Journal of Integral Equations and Applications, 2019 The paper deals with the Volterra-Choquet equation, which is the classical Volterra equation of the second kind in which the Lebesgue type integral \(\int ds\) is replaced by the Choquet integral \((C)\int d\mu(s)\). The author considers the following equation \[ \varphi(x) = f(x) +\lambda\cdot (C)\int_{a}^{x} K(x,s,\varphi(s)) d\mu(s), \quad x\in [a,b]
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Solvability of Nonlinear Integral Equations of Volterra Type
Abstract and Applied Analysis, 2012 This paper deals with the existence of continuous bounded solutions for a rather general nonlinear integral equation of Volterra type and discusses also the existence and asymptotic stability of continuous bounded solutions for another nonlinear integral
Zeqing Liu, Sunhong Lee, Shin Min Kang
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