000			02340 a2200289 4500
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020			_a9783662598511 _qPaperback
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082	0	4	_a517 _bMAZ-A
245	1	0	_aAnalysis IV : _blinear and boundary integral equations
260			_aBerlin, Heidelberg : _bSpringer-Verlag, _c2020.
300			_a233 pages : _bill. ; _c24 cm.
490			_aEncyclopaedia of mathematical sciences ; _vvolume 27
504			_aIncludes bibliographical references and index.
520			_aA linear integral equation is an equation of the form XEX. (1) 2a(x)cp(x) - Ix k(x, y)cp(y)dv(y) = f(x), Here (X, v) is a measure space with a-finite measure v, 2 is a complex parameter, and a, k, f are given (complex-valued) functions, which are referred to as the coefficient, the kernel, and the free term (or the right-hand side) of equation (1), respectively. The problem consists in determining the parameter 2 and the unknown function cp such that equation (1) is satisfied for almost all x E X (or even for all x E X if, for instance, the integral is understood in the sense of Riemann). In the case f = 0, the equation (1) is called homogeneous, otherwise it is called inhomogeneous. If a and k are matrix functions and, accordingly, cp and f are vector-valued functions, then (1) is referred to as a system of integral equations. Integral equations of the form (1) arise in connection with many boundary value and eigenvalue problems of mathematical physics. Three types of linear integralequations are distinguished: If 2 = 0, then (1) is called an equation of the first kind; if 2a(x) i= 0 for all x E X, then (1) is termed an equation of the second kind; and finally, if a vanishes on some subset of X but 2 i= 0, then (1) is said to be of the third kind.
650		0	_aCalculus, Operational
650		0	_aIntegral representations
650		0	_aIntegral transforms
650		0	_aAsymptotic expansions
700	1		_aMaz'ya, V. G. _eeditor
700	1		_aNikolʹskiĭ, S. M. _eeditor
856	4	1	_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-3-642-58175-5/1
856	4	1	_3Reviews _uhttps://www.goodreads.com/book/show/18571789-analysis-iv?ref=nav_sb_ss_1_13#CommunityReviews
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