Integral Equations With Separable Kernels

Ram P. Kanwal
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Ram P. Kanwal: Pennsylvania State University, Department of Mathematics

Chapter Chapter 2 in Linear Integral Equations, 1997, pp 7-24 from Springer

Abstract: Abstract In Chapter 1, we have defined a degenerate or a separable kernel K(s, t) as 2.1.1 % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4samaabm % aabaGaam4CaiaacYcacaWG0baacaGLOaGaayzkaaGaeyypa0ZaaabC % aeaacaWGHbWaaSbaaSqaaiaadMgaaeqaaOGaaiikaiaadohacaGGPa % aaleaacaWGPbGaeyypa0JaaGymaaqaaiaad6gaa0GaeyyeIuoakiaa % dkgadaWgaaWcbaGaamyAaaqabaGccaGGOaGaamiDaiaacMcacaGGSa % aaaa!4B43! $$K\left( {s,t} \right) = \sum\limits_{i = 1}^n {a_i (s)} b_i (t),$$ where the functions a 1(s),..., a n (s) and the functions b 1(t),..., b n (t) are linearly independent.

Keywords: Integral Equation; Nontrivial Solution; Algebraic System; Homogeneous Equation; Independent Solution (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1007/978-1-4612-0765-8_2

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