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Integro-Differential Equation

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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On a System of Integro-Differential Equations

SIAM Journal on Applied Mathematics, 1971
In 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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Global nonexistence for an integro‐differential equation

Mathematical Methods in the Applied Sciences, 2011
The 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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On a Nonlinear Singular Integro‐Differential Equation

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1987
The 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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An algorithm for solving a nonlinear integro–differential equation

Applied Mathematics and Computation, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elias Deeba   +2 more
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On analysis of the fuzzy fractional order Volterra-Fredholm integro-differential equation

AEJ - Alexandria Engineering Journal, 2021
Shabir Ahmad, Kamal Shāh, Aman Ullah
exaly  

On a fractional hybrid integro-differential equation with mixed hybrid integral boundary value conditions by using three operators

AEJ - Alexandria Engineering Journal, 2020
Dumitru Baleanu   +2 more
exaly  

Bifurcations and stability of integro-differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2001
Goltser, Ya., Domoshnitsky, A.
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