Results 21 to 30 of about 2,326,383 (287)
A transition integral transform obtained from generalization of the Fourier transform
Ain Shams Engineering Journal, 2019 We introduce a generalized integral transform (GIT) whose integration path lies on the complex plane. The GIT has both bilateral and unilateral versions, and generalizes a set of known integral transforms, e.g. Fourier, Laplace, allowing to solve integro-
Rafael G. González-Acuña +1 more
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Novel Bäcklund Transformations for Integrable Equations
Mathematics, 2022 In this paper, we construct a new matrix partial differential equation having a structure and properties which mirror those of a matrix fourth Painlevé equation recently derived by the current authors. In particular, we show that this matrix equation admits an auto-Bäcklund transformation analogous to that of this matrix fourth Painlevé equation.
Pilar Ruiz Gordoa, Andrew Pickering
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Two New Integral Transforms and Their Applications [PDF]
, 1972 This thesis is in two parts. In Part I the independent variable θ in the trigonometric form of Legendre's equation is extended to the range ( -∞, ∞).
Newhall, X X (Nicholas)
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Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels [PDF]
Opuscula Mathematica, 2012 This paper introduces a general concept of convolutions by means of the theory of reproducing kernels which turns out to be useful for several concrete examples and applications.
Luis P. Castro +2 more
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Bäcklund transformations for integrable lattice equations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 We give new Backlund transformations (BTs) for some known integrable (in the sense of being multidimensionally consistent) quadrilateral lattice equations. As opposed to the natural auto-BT inherent in every such equation, these BTs are of two other kinds. Specifically, it is found that some equations admit additional auto-BTs (with Backlund parameter),
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Dual integral equations involving Weber-Orr transforms
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper we consider dual integral equations involving inverse Weber-Orr transforms of the type Wν−k,ν−1[;], k=0,1,…. A general solution is established using elementary methods. Many known results are derived as special cases.
C. Nasim
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A Generalized Approach of Triple Integral Transforms and Applications
Journal of Mathematics, 2023 In this study, we introduce a novel generalization of triple integral transforms, which is called a general triple transform. We present the definition of the new approach and prove the main properties related to the existence, uniqueness, shifting ...
Rania Saadeh
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International Journal of Mathematics and Mathematical Sciences, 1986 This paper establishes properties of a convolution type integral transform whose kernel is a Macdonald type Bessel function of zero order. An inversion formula is developed and the transform is applied to obtain the solution of some related integral ...
D. Naylor
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Generalized integral Laplace transform and its application to solving some integral equations
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 We present integral transforms $\widetilde {\mathcal L}\left\{f(t);x\right\}$ and $\widetilde {\mathcal L}_{\gamma_1,\gamma_2,\gamma} \left\{f(t);x\right\}$, generalizing the classical Laplace transform.
Svetlana M Zaikina
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Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]
, 2013 This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE +2 more
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