SIAM Journal on Applied Mathematics, Vol. 73, No. 5 (2013), pp. 1811-1829 (19 pages) This paper is concerned with the direct and inverse acoustic or electromagnetic scattering problems by a locally ...
Functional integral equations constitute a broad class of problems in which an unknown function appears under an integral sign. These equations play a pivotal role in modelling complex phenomena in ...
Integral equations in various scientific theories and their relation to differential equations. Methods of solving linear problems with Hilbert Schmidt, Cauchy, and Wiener-Hopf type kernels; ...
Stochastic Volterra integral equations provide a powerful framework for modelling systems in which memory effects and hereditary properties play a central role. These equations extend the classical ...
The classical Poincaré-Bertrand transposition formula for the inversion of the order of integration in repeated Cauchy-type integrals is generalized in accordance with a new interpretation of ...
Maths Application of Integrals Formulas: Almost half of the CBSE Class 12 mathematics subject is composed of calculus. Both differentiation and integration concepts feature heavily in the curriculum, ...
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