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pro vyhledávání: '"Differential Operator"'
Explicit solutions to the related integrable nonlinear evolution equations are constructed by solving the inverse scattering problem in the reflectionless case for the third-order differential equation $d^3\psi/dx^3+Q\,d\psi/dx+P\psi=k^3\psi,$ where
Externí odkaz:
http://arxiv.org/abs/2412.10971
Autor:
Gonzalez, Yanina, Torres, Victoria
In this paper, we present a comprehensive account of all Laguerre-type differential operators $D$ that are symmetric with respect to a $2\times 2$ irreducible weight $W$ on the interval $(0, \infty)$. These operators are associated with monic orthogo
Externí odkaz:
http://arxiv.org/abs/2411.13736
Autor:
Ding, Chao, Xu, Zhenghua
In this article, we present the symmetry group of a global slice Dirac operator and its iterated ones. Further, the explicit forms of intertwining operators of the iterated global slice Dirac operator are given. At the end, we introduce a variant of
Externí odkaz:
http://arxiv.org/abs/2409.09949
Autor:
Li, Jinlu
In this paper, we investigate some fixed-point properties of the Mordukhovich differential operator of set valued mappings (or, single valued mappings) on Banach spaces. In particular, we study the fixed-point properties of the Mordukhovich different
Externí odkaz:
http://arxiv.org/abs/2407.05227
Autor:
Al-Rawashdeh, Waleed1 walrawashdeh@zu.edu.jo
Publikováno v:
European Journal of Pure & Applied Mathematics. Oct2024, Vol. 17 Issue 4, p3899-3914. 16p.
Autor:
Ifa, Abdelwaheb, Rouleux, Michel
We revisit the well known Bohr-Sommerfeld quantization rule (BS) of order 2 for a self-adjoint 1-D $h$-Pseudo-differential operator within the algebraic and microlocal framework of Helffer and Sj\"ostrand
Externí odkaz:
http://arxiv.org/abs/2407.18893
Publikováno v:
In Engineering Analysis with Boundary Elements February 2025 171
Autor:
Wachsmuth, Daniel
We consider optimal control problems, where the control appears in the main part of the operator. We derive the Pontryagin maximum principle as a necessary optimality condition. The proof uses the concept of topological derivatives. In contrast to ea
Externí odkaz:
http://arxiv.org/abs/2405.04204
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