On the Analysis of a Particular Volterra-Stieltjes Convolution Integral Equation | Zendy

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On the Analysis of a Particular Volterra-Stieltjes Convolution Integral Equation

Author(s) -

Bernd Hofmann

Publication year - 1988

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/303

Subject(s) - riemann–stieltjes integral , convolution (computer science) , mathematics , integral equation , volterra integral equation , mathematical analysis , calculus (dental) , computer science , artificial intelligence , medicine , dentistry , artificial neural network

Let C[O, 1] be the space of all real continuous functions on [0, 11, .II designate the associated maximum norm and also the norm in the space of all bounded linear operators in C[0, 1]. Analogously, let C1 [O, 1] CEO, 1] be the space of all continuoàsly differentiable real functions on [0, 1] and with 1 g 11 = hIhI + hI g 'hh designate thd associated norm (g' denotes the first derivative of g) as well as' the norm of all bounded linear operators from C'[O , 1] into CEO, 11. Moreover, Po ' v0 , v min and Vmax are assumed to be fixed positive values throughout this paper.. Finally, we denote by . .

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