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On Singular Normal Linear Integral Equations
Canadian Mathematical Bulletin, 1970In this work we consider the equation1where K(x, y) is singular in the sense that it does not properly belong to L2 and f(x) is an arbitrary L2 function.A Lebesgue measurable function K(x, y) of two variables, having real values on [0.1] × [0.1] is called a singular normal kernel ...
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On the solution of linear and nonlinear integral equation
Applied Mathematics and Computation, 2003The author considers Fredholm-Volterra integral equations of the second kind in the space \(L_2(\Omega)\times C[0,T]\). The linear as well as the nonlinear case is under consideration. In the linear case, using separation of variables, the author obtains a Volterra integral equation of the second kind with respect to time in the space \(C[0,T]\), and a
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Inequalities for the Solutions of Linear Integral Equations
Journal of Mathematical Physics, 1965Inequalities are derived for the solutions of linear integral equations of a certain class in terms of their inhomogeneous terms and kernels. The construction of these inequalities appears to be very simple in practice as it involves only quadratures.
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Particular Integrals of Linear Differential Equations
The Mathematical Gazette, 1965In elementary courses on differential equations the standard method of obtaining particular integrals is probably that of the variation of parameters or, as it is sometimes rather paradoxically called, the variation of constants. In more sophisticated courses the idea of the Green’s function is introduced.
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Integrability of the Wong Equations in the Class of Linear Integrals of Motion
Russian Physics Journal, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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