Results 251 to 260 of about 2,786,755 (294)
Some of the next articles are maybe not open access.
Series and Integral Representations
1989Summary: The article in question is devoted to exposition of historical aspects of the theory of convergence of series and integrals. The main attention is paid to the question of regularization of divergent integrals and summation of divergent series.
openaire +2 more sources
INTEGRAL REPRESENTATIONS OF POLYHARMONIC OPERATORS
KIBERNETYKA TA SYSTEMNYI ANALIZThe study is devoted to establishing optimal mathematical models in the context of system analysis problems. Namely, nontrivial boundary conditions are applied to the problem of integrating polyharmonic equations in polar coordinates. The function, which is triharmonic in a unit disk, is presented in the form of an integral with a delta-like kernel ...
openaire +1 more source
2003
Abstract Let X be a Banach space. A Banach subspa ce Z of X is a subspace of X in the algebraic sense, which is a Banach space for a norm II • llz larger than or equal to the given norm II · II of X. Clearly, if Zand X are Banach subspaces of each other, then they coincide as Banach spaces (with equality of norms).
openaire +1 more source
Abstract Let X be a Banach space. A Banach subspa ce Z of X is a subspace of X in the algebraic sense, which is a Banach space for a norm II • llz larger than or equal to the given norm II · II of X. Clearly, if Zand X are Banach subspaces of each other, then they coincide as Banach spaces (with equality of norms).
openaire +1 more source
Integral Representations and Integral Equations
2001We introduce in this chapter the integral representations of the solutions of the Helmholtz equation. We study the associated integral equations and their main properties. When the wave number k is zero, these integral representations are those associated with the Laplace equation. They have very specific properties.
openaire +1 more source
Integral representation of hyperparabolic equation
2021The paper deals with hyperparabolic equations and the corresponding Cauchy problem for them. The author presents these equations in the form of an integral equation and applies the method of successive approximations for the construction of solutions. The convergence of successive approximations is proved.
openaire +2 more sources
Integral Representations of Two Generalized Core Inverses
Applied Mathematics and Computation, 2018Jianlong Chen, Mengmeng Zhou
exaly
On Integral Representation of the Generalized Inverse AT,S(2)
Applied Mathematics and Computation, 2003Yimin Wei, Dragan Djordjevic
exaly