Results 11 to 20 of about 1,319,197 (338)

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 (Berezin) integrations and which is to be obeyed by an unknown function over a (finite-dimensional) Grassmann ...
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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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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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
doaj   +1 more source

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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Integral equations as evolution equations

Journal of Differential Equations, 1982
AbstractWe study a class of time-dependent linear integrodifferential equations (VE) with the evolution equation approach. We determine the generators of a time-dependent evolution equation (DE) which is equivalent to the given integrodifferential equation.
Goong Chen, Ronald Grimmer
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Markovian integral equations [PDF]

Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2020
We analyze multidimensional Markovian integral equations that are formulated with a time-inhomogeneous progressive Markov process that has Borel measurable transition probabilities. In the case of a path-dependent diffusion process, the solutions to these integral equations lead to the concept of mild solutions to semilinear parabolic path-dependent ...
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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
doaj   +1 more source

Path Integral for the Dirac Equation [PDF]

, 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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Solving a nonhomogeneous integral equation with the variable lower limit

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
An nonhomogeneous integral equation with a singular kernel is considered. A feature of the equation under study is the incompressibility of the integral operator.
M.T. Kosmakova, D.M. Akhmanova, Zh.M. Tuleutaeva, L.Zh. Kasymova   +3 more
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Application of DRBEM for 2D sine-Gordon equation

Journal of Taibah University for Science, 2021
This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
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