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The convolution and operational properties of a finite integral transform related to boundary value problems of the third kind. (Bulgarian. English, Russian summaries) Zbl 0558.44003

The paper deals with a finite integral transform connected with the boundary value problem \(y''+\lambda y=f\), \(y'(0)-hy(0)=0\), \(y'(1)+Hy(1)=0\). Some operational properties of this transform are studied. An explicite expression of a convolution of this transform is given as well.
Reviewer: N.Bozhinov

MSC:

44A45 Classical operational calculus
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
44A35 Convolution as an integral transform
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