Results 11 to 20 of about 5,360,556 (378)

A Grassmann integral equation [PDF]

Journal of Mathematical Physics, 2003
The present study introduces and investigates a new type of equation which is called Grassmann integral equation in analogy to integral equations studied in real analysis. A Grassmann integral equation is an equation which involves Grassmann integrations
Aczél J., Anschuetz R., Argyres A. N., Babbage C., Babbage C., Banerjee P. P., Barnabei M., Barndorff-Nielsen O., Barnes A., Barnes T., Bender C. M., Bender C. M., Bender C. M., Caianiello E. R., Caola M. J., Charret I. C., Cheng R., Dams C., de Dominicis C., de Filippo S., Doetsch G., Dolan S., Dosch H. G., Dosch H. G., Euler R., Falconer K. J., Floreanini R., Frydryszak A., Goldberg H., Hamedani G. G., Hamedani G. G., Hardy G. H., Hardy G. H., Hotelling H., Häußling R., Jacobi C. G. J., K. Scharnhorst, Kainz W., Kapuścik E., Karczmarczuk J., Kerler W., Klauder J. R., Kleinert P., Knyazev A. G., Kotecký R., Laitoch M., Laue G., Lawson J. W., Lovely R. M., Lukacs E., Lukacs E., Lévy P., Malbouisson A. P. C., Marcus M., Marinaro M., Massera J. L., McCarthy P. J., McCarthy P. J., McCarthy P. J., McCarthy P. J., Mehrotra B. M., Nosratinia A., Okopińska A., Patrascioiu A., Pestana D., Pierce W. E., Prokhorov L. V., Prokhorov L. V., Rossberg H.-J., Rossberg H.-J., Scarpetta G., Scharnhorst K., Schladitz K., Schladitz K., Schwerdtfeger H., Teugels J. L., Ullah N., Vivier M.   +77 more
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Path Integral for the Dirac Equation [PDF]

Physics Letters B, 1998
A c-number path integral representation is constructed for the solution of the Dirac equation. The integration is over the real trajectories in the continuous three-space and other two canonical pairs of compact variables controlling the spin and the ...
Polonyi, Janos
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On a stochastic integral equation [PDF]

Proceedings of the Japan Academy, 1946
Not ...
Kiyosi Itô
openalex   +4 more sources

Contractions of Integrable Equations [PDF]

International Journal of Modern Physics A, 1997
The contraction is applied to obtaining of integrable systems associated with nonsemisimple algebras. The effect of contraction is splitting off some components from initial system without loss of integrability.
Gromov, N. A., Kostyakov, I. V., Kuratov, V. V.   +2 more
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Families of Integrable Equations [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through B cklund transformations. At least one of the members of each family is integrable, hence the whole family inherits some integrability properties.
Kassotakis, P., Nieszporski, M.
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Nonlinear Integral-Equation Formulation of Orthogonal Polynomials [PDF]

, 2006
The nonlinear integral equation P(x)=\int_alpha^beta dy w(y) P(y) P(x+y) is investigated. It is shown that for a given function w(x) the equation admits an infinite set of polynomial solutions P(x).
Abramowitz M, Andrews G E, Baker G A, Bateman H, Bender C M, Carl M Bender, E Ben-Naim   +6 more
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Solving one pseudo-Volterra integral equation

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper, we study the solvability of a second - kind pseudo-Volterra integral equation. By replacing the right - hand side and the unknown function, the integral equation is reduced to an integral equation, the kernel of which is not «compressible»
M.T. Kosmakova, D.M. Akhmanova, S.A. Iskakov, Zh.M. Tuleutaeva, L.Zh. Kasymova   +4 more
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A study on the convergence and error bound of solutions to 2D mixed Volterra–Fredholm integral and integro-differential equations via high-order collocation method [PDF]

Iranian Journal of Numerical Analysis and Optimization
The integral equation is transformed into systems of algebraic equations using standard collocation points, and then the algebraic equations are solved using matrix inversion.
A.A. Shalangwa, M.R. Odekunle, S.O. Adee
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General functional-integral Volterra equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2007
We research the one-valued solvability of the integral Volterra equation of general type with given initial condition. The theorem on the existence and uniqueness of continuous solution, which satisfies the Lipschitz condition on the considered interval ...
T. K. Yuldashev, Zh. A. Artykova
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Computation of semi-analytical solutions of fuzzy nonlinear integral equations

Advances in Difference Equations, 2020
In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah, Aman Ullah, Kamal Shah, Dumitru Baleanu   +3 more
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