Výsledky vyhledávání - "J. S. Lowndes"

Akademický článek

Autor: J. S. Lowndes

Publikováno v: Revista Técnica de la Facultad de Ingeniería, Vol 3, Iss 1 (2011)

The object of this paper is to obtain the solution of a general class of integral equations examples of which occur widely in boundary value problems in applied mathematics. In particular the solution of a generalization of an integral equation which

Externí odkaz: https://doaj.org/article/22474a738c654fe68808a554a4804812

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The solution of some integral equations

Autor: E. Meister, J. S. Lowndes

Publikováno v: Mathematical Methods in the Applied Sciences. 2:26-33

Using some elementary generalisations of the Erdelyi-Kober operators of fractional integration the solutions of some general integral equations are obtained in concise forms from which the solutions of several well known examples of the equations are

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dbcac07810467ffd3fea84d867f7ba90
https://doi.org/10.1002/mma.1670020104

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On some solutions of second order hyperbolic differential equations with constant coefficients

Autor: J. S. Lowndes

Publikováno v: Glasgow Mathematical Journal. 29:69-72

If we seek solutions of the hyperbolic differential equationwhich depend only on the variables i and , we see that these solutions must be even in r and satisfy the differential equationThe object of this paper is to show that some recent results in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2fc5f471b4407141fe3749a256756cb4
https://doi.org/10.1017/s0017089500006674

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On some fractional integrals and their applications

Autor: J. S. Lowndes

Publikováno v: Proceedings of the Edinburgh Mathematical Society. 28:97-105

In previous papers [3, 4] the author has discussed the symmetric generalised Erdélyi–Kober operators of fractional integration defined bywhere α>0, γ≧0 and the operators ℑiγ(η,α) and defined as in equations (1) and (2) respectively but wi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6aa17013a7dc733012257740dea43aa4
https://doi.org/10.1017/s0013091500003230

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Solution of an integral equation

Autor: J. S. Lowndes

Publikováno v: Glasgow Mathematical Journal. 19:69-73

In this paper we obtain the general solution of the equationwhose kernel iswhere 0 0, δ>0, are real parameters, z = max(x, y), φ(t) and g(y) are prescribed functions and ƒ(x) is to be determined.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ee1e435948a37ee4942b98bf85b19181
https://doi.org/10.1017/s0017089500003396

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On some generalisations of the Riemann-Liouville and Weyl fractional integrals and their applications

Autor: J. S. Lowndes

Publikováno v: Glasgow Mathematical Journal. 22:173-180

1. For functions f ∈ LLoc[0, ∞) the Riemann-Liouville operator of fractional integration I∞ is defined byand its adjoint operator, the Weyl operator Kα, is defined byfor functions f ∈ LLoc[0, ∞) having a suitable behaviour at infinity.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1c118472ac582f3b4b9e0cc09f4737ac
https://doi.org/10.1017/s001708950000464x

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An application of some fractional integrals

Autor: J. S. Lowndes

Publikováno v: Glasgow Mathematical Journal. 20:35-41

1. A discussion of the Erdélyi-Kober operatorand its adjoint operator Kη,α together with an account of some of their applications can be found in the book by Sneddon [5].

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ec4ad68af3e527f662fb6d8f15fdeb94
https://doi.org/10.1017/s0017089500003694

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Cauchy problems for second order hyperbolic differential equations with constant coefficients

Autor: J. S. Lowndes

Publikováno v: Proceedings of the Edinburgh Mathematical Society. 26:307-311

1. It is well known [1] that there is a one-to-one relation between solutions of the Darboux equation and the wave equation. The purpose of this paper is to show that some recent results in the fractional calculus can be used to obtain a similar conn

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c0ba74ef86fc1fa2453aead5de459eae
https://doi.org/10.1017/s0013091500004363

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