A Numerical Method for Solving Fredholm Integral Equations of the First Kind with Logarithmic Kernels and Singular Unknown Functions
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DOI: 10.1007/s40819-020-00923-1
Abstract: In this paper, we present a numerical method for solving singular Fredholm integral equations of the first kind. The method is based on the application of the shifted Chebyshev polynomials of the second kind using two techniques.… read more here.
Keywords: kind; method; equations first; first kind ... See more keywords
Controllability and Optimal Controllability for Operator Equations of the First Kind in (B)-Spaces: Examples for ODE in $${{\mathbb{R}}^{n}}$$
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DOI: 10.1134/s1064562419020091
Abstract: For control and observation problems considered for operator equations of the first kind in Banach spaces, an controllability criterion is stated. In the case of reflexive strictly convex (B)-spaces, the BUME method and the method… read more here.
Keywords: controllability; first kind; operator equations; equations first ... See more keywords
Integral Equations Related to Volterra Series and Inverse Problems: Elements of Theory and Applications in Heat Power Engineering
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DOI: 10.3390/math9161905
Abstract: The paper considers two types of Volterra integral equations of the first kind, arising in the study of inverse problems of the dynamics of controlled heat power systems. The main focus of the work is… read more here.
Keywords: power; equations first; first kind; inverse problems ... See more keywords