[unknown]
Kokila Sundaram (1983)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Kokila Sundaram (1983)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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V. Karunakaran, C. Prasanna Devi (2010)
Annales Polonici Mathematici
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In the literature a Boehmian space containing all right-sided Laplace transformable distributions is defined and studied. Besides obtaining basic properties of this Laplace transform, an inversion formula is also obtained. In this paper we shall improve upon two theorems one of which relates to the continuity of this Laplace transform and the other is concerned with the inversion formula.
Sinha, Sunil Kumar (1985)
International Journal of Mathematics and Mathematical Sciences
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Pathak, Ram Shankar, Debnath, Lokenath (1987)
International Journal of Mathematics and Mathematical Sciences
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Deeba, E.Y., Koh, E.L. (1992)
International Journal of Mathematics and Mathematical Sciences
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V. M. Bhise (1967)
Compositio Mathematica
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J. M. C. Joshi (1963)
Collectanea Mathematica
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Jorge J. Betancor, Javier A. Barrios (1991)
Extracta Mathematicae
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Swartz, Charles (1970)
Portugaliae mathematica
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Yürekli, O., Sadek, I. (1991)
International Journal of Mathematics and Mathematical Sciences
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Maria E. Pliś (1998)
Annales Polonici Mathematici
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A family of formal solutions of some type of nonlinear partial differential equations is found. Terms of such solutions are Laplace transforms of some Laplace distributions. The series of these distributions are locally finite.