integral equation
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Related to integral equation: Fredholm integral equation
integral equation
[′int·ə·grəl i′kwā·zhən] (mathematics)
An equation where the unknown function occurs under an integral sign.
Also found in: Dictionary, Wikipedia.
Mentioned in
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- Abel, Niels Henrik
- Abel's integral equation
- Aleksandr Ivanovich Nekrasov
- Aleksandr Nekrasov
- Carleman, Tage Gillis Torsten
- Contraction Mappings, Principle of
- Convergence
- David Hilbert
- Differentsialnye Uravneniia
- Direct Method
- Dispersion relations
- Dmitrii Egorov
- Dmitrii Fedorovich Egorov
- Egorov, Dmitrii
- Egorov, Dmitrii Fedorovich
- Eigenfunction
- Equations of Mathematical Physics
- Erik Ivar Fredholm
- field theory
References in periodicals archive
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The goal of the work is use of electrostatic analogy for testing the algorithm for the numerical solution of the integral equation for the surface density of fictitious magnetic charges at the interfaces of homogeneous regions of a piecewise homogeneous magnetized medium in the case of a plane meridian magnetostatic field.
The main purpose of this paper is to study the following integral equation
An integral equation for stress-strain analysis of thin supported elastic plate with rigid cross-shaped embedment is obtained.
Haddock, Qualitative properties of solutions of integral equations, Nonlinear Anal.
The auxiliary function involved in the function inverse to the reparametrizing one can be found by integral equation solution.
Using similar methods as in [35], one can prove existence and uniqueness results to fuzzy stochastic integral equation (with respect to continuous [H.
Together, the contributions from (12), (14), and (15) provide the cubic approximation of the fully nonlinear integral equation (5), obtaining [nabla][PHI] from [F.
While [14] is concerned with the weakly-singular integral equation for the Laplacian on polygonal/polyhedral boundaries, the work [15] treats general weakly-singular and hyper-singular integral equations on smooth boundaries.
A non-Homogenous Fredholm integral equation of the second kind may be written as
Keywords: Hyers-Ulam-Rassias stability, Volterra integral equation, fixed point, weight function.
The panel methods are offered under different names such as "Boundary Element Method", "Surface Singularity Methods", "Boundary Integral Methods", or "Boundary Integral equation Methods".
We can retain a simple integral equation formulation in scalar potential for the region outside the rail, where magnetic fields are irrotational.
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