Search for "Integral equations" in article titles:

1. Strip method (integral equations): A method for the approximate solution of one-dimensional Fredholm integral equations of the second kind (cf. also Fredholm equation; Fredholm equation, numerical methods), based on replacing the kernel in a special way by a degenerate kernel, evaluating the resolvent ... (Mathematics) [100%] 2024-01-02
2. Integral equations, numerical methods: Methods for finding approximate solutions of integral equations. It is required to find the solution $ \phi ( x) $ of a one-dimensional Fredholm equation of the second kind, $$ \tag{1 } \phi ( x) = \lambda \int\limits _ { a } ^ { b } K ( x , s ... (Mathematics) [100%] 2023-10-13
3. Integral Equations and Operator Theory: Integral Equations and Operator Theory is a journal dedicated to operator theory and its applications to engineering and other mathematical sciences. As some approaches to the study of integral equations (theoretically and numerically) constitute a subfield of operator theory, the ... [89%] 2024-01-10 [Mathematics journals]
4. Hilbert theory of integral equations: A general theory of linear integral equations of the second kind, $$ \tag{1 } \phi ( x) + \int\limits _ { a } ^ { b } K ( x, s) \phi ( s) ds = f ( x), $$ established by D. Hilbert on the basis of his theory of linear ... (Mathematics) [89%] 2023-10-24

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1. Integral equation: An equation containing the unknown function under the integral sign. Integral equations can be divided into two main classes: linear and non-linear integral equations (cf. (Mathematics) [100%] 2023-07-14
2. Volterra integral equation: In mathematics, the Volterra integral equations are a special type of integral equations. They are divided into two groups referred to as the first and the second kind. [81%] 2023-12-09 [Integral equations]
3. Degenerate integral equation: A linear Fredholm integral equation with a degenerate kernel. Its general form is $$ \tag{1 } \lambda x ( P) - \int\limits _ { D } \sum _ {i = 1 } ^ { N } \phi _ {i} ( P) \psi _ {i} ( Q) x ( Q) dQ = f ( P ... (Mathematics) [81%] 2023-10-17
4. Abel integral equation: The integral equation \begin{equation}\int\limits_0^x\frac{\phi(s)}{\sqrt{x-s}}ds=f(x),\label{1}\end{equation} to which the solution of the Abel problem is reduced. The generalized Abel integral equation is the equation \begin ... (Mathematics) [81%] 2023-10-18
5. Fredholm integral equation: In mathematics, the Fredholm integral equation is an integral equation whose solution gives rise to Fredholm theory, the study of Fredholm kernels and Fredholm operators. The integral equation was studied by Ivar Fredholm. [81%] 2023-08-09 [Fredholm theory] [Integral equations]...
6. Nekrasov integral equation: A non-linear integral equation of the form $$\phi(x)=\lambda\int\limits_a^b[\phi(y)+R(\lambda,y,\phi(y))]K(x,y)\,dy,\label{*}\tag{*}$$ where $R$ and $K$ are known functions, $K$ being symmetric, $\phi$ is the ... (Mathematics) [81%] 2023-10-24
7. Noetherian integral equation: An integral equation for which Noether's theorems (see below) are valid. Let $ X $ be a Banach space, $ A $ a bounded linear operator (mapping) taking $ X $ into itself: $ A : X \rightarrow X $, and let $ A ^ {*} $ be the adjoint operator of ... (Mathematics) [81%] 2023-10-17
8. Singular integral equation: An equation containing the unknown function under the integral sign of an improper integral in the sense of Cauchy (cf. Cauchy integral). (Mathematics) [81%] 2023-10-19
9. Linear integral equation: An integral equation in which the unknown function $\phi(s)$ occurs in a linear fashion: $$A(x)\phi(x)+\int\limits_DK(x,s)\phi(s)ds=f(x),\quad x\in D.$$ Here $A$, $K$, $f$ are given functions, $D ... (Mathematics) [81%] 2023-10-17
10. Theodorsen integral equation: Theodorsen's integral equation is a well-known tool for computing numerically the conformal mapping $g$ of the unit disc $D$ onto a star-like region $\Delta$ given by the polar coordinates $\tau$, $\rho ( \tau )$ of its boundary $\Gamma$. The ... (Mathematics) [81%] 2023-07-10
11. Mixed integral equation: An integral equation that, in the one-dimensional case, has the form $$ \tag{1 } \phi ( x) - \lambda \int\limits _ { a } ^ { b } K ( x, s) \phi ( s) ds - \lambda \sum _ {j = 1 } ^ { m } K _ {1} ( x, s _ ... (Mathematics) [81%] 2023-10-17
12. INTEGRAL (обсерватория): Международная обсерватория гамма-лучей (англ. INTErnational Gamma-Ray Astrophysics Laboratory/INTEGRAL) — орбитальная обсерватория, предназначенная для изучения галактических и внегалактических объектов в жёстком рентгеновском и гамма-диапазоне. (Обсерватория) [78%] 2024-01-20
13. Integral: Not to be confused with Integralism. An integral is a mathematical construction used in calculus to represent the area of a region in a plane bounded by the graph of a function in one real variable. [78%] 2023-02-11 [Calculus] [Integration]...
14. Integral: One of the central notions in mathematical analysis and all of mathematics, which arose in connection with two problems: to recover a function from its derivative (for example, the problem of finding the law of motion of a material object ... (Mathematics) [78%] 2023-10-20
15. Integral: An integral is a central concept in calculus that generalizes the idea of a sum to cover quantities which may be continuously varying. For example, integrals can be used to calculate the length, area or volume of curved objects. [78%] 2022-08-26
16. INTEGRAL: Il telescopio spaziale dell'Agenzia Spaziale Europea INTErnational Gamma-Ray Astrophysics Laboratory (INTEGRAL) è stato sviluppato per individuare le più energetiche radiazioni individuabili nello spazio, i lampi gamma (GRB). È il più sensibile telescopio a raggi gamma mai sviluppato, nonché il più pesante satellite scientifico europeo ... [78%] 2023-07-25
17. Integral: In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operation of calculus, the other being ... (Operation in mathematical calculus) [78%] 2023-03-22 [Integrals] [Functions and mappings]...
18. Integral (horse): Integral (foaled 13 March 2010) is a British Thoroughbred racehorse. Unraced as a two-year-old, she was a Group 3 winner at three when finishing in a dead heat for first place in the Atalanta Stakes. (Horse) [78%] 2024-06-03 [2010 racehorse births] [Racehorses bred in the United Kingdom]...
19. Integral: In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operations of calculus, the other being ... (Operation in mathematical calculus) [78%] 2024-10-27 [Integrals] [Functions and mappings]...