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On a System of Integro-Differential Equations
SIAM Journal on Applied Mathematics, 1971In this paper a system of integro-differential equations arising in reactor dynamics is studied. To obtain existence theorems and some qualitative properties of the solution we use methods of functional analysis, specifically, the theory of strongly continuous semigroups of operators on a Banach space. In Appendix A, a lemma is proved about convergence
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2015
Solving for the complete many-body wave function (instead of partial waves in a PH expansion), one gets an integro-differential equation (IDE). The IDE is derived from PH expansion method. Hence, IDE and PHEM are equivalent. Still IDE has certain advantages: its structure and complexity do not increase with the number of particles. Also, since there is
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Solving for the complete many-body wave function (instead of partial waves in a PH expansion), one gets an integro-differential equation (IDE). The IDE is derived from PH expansion method. Hence, IDE and PHEM are equivalent. Still IDE has certain advantages: its structure and complexity do not increase with the number of particles. Also, since there is
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Integro-Differential Equations of Fractional Order
Differential Equations and Dynamical Systems, 2012For a Cauchy type problem for a two-dimensional integro-differential equation of fractional order the global unique existence of a solution is proved if the nonlinearity satisfies a global Lipschitz condition with a sufficiently small Lipschitz constant.
Abbas, Saïd +2 more
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Global nonexistence for an integro‐differential equation
Mathematical Methods in the Applied Sciences, 2011The initial boundary value problem for an integro‐differential equation with nonlinear damping and source terms in a bounded domain is considered. By modifying the method in a work by Autuori et al. in 2010, we establish the nonexistence result of global solutions with the initial energy controlled by a critical value.
Wu, Shun-Tang, Lin, Ching-Yan
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An algorithm for solving a nonlinear integro–differential equation
Applied Mathematics and Computation, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elias Deeba +2 more
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On a Nonlinear Singular Integro‐Differential Equation
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1987The author [ibid. 63, 249-259 (1983; Zbl 0525.45004) and 65, 309-310 (1985; Zbl 0573.45004)] applied methods of monotone operator theory to some classes of nonlinear singular integral and integrodifferential equations of Cauchy type. In particular, in the first cited paper, the main theorem of the theory of maximal monotone operators was used to prove ...
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A Class of Integro-Differential Equations
American Journal of Mathematics, 1949openaire +1 more source
On analysis of the fuzzy fractional order Volterra-Fredholm integro-differential equation
AEJ - Alexandria Engineering Journal, 2021Imtiaz Ahmad, Shabir Ahmad, Kamal Shah
exaly
Variational iteration method for solving integro-differential equations
Physics Letters, Section A: General, Atomic and Solid State Physics, 2007Ji‐Huan He, Shu-Qiang Wang
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