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pro vyhledávání: '"Ćurgus, Branko"'
We consider the indefinite Sturm-Liouville differential expression \[\mathfrak{a}(f) := - \frac{1}{w}\left( \frac{1}{r} f' \right)',\] where $\mathfrak{a}$ is defined on a finite or infinite open interval $I$ with $0\in I$ and the coefficients $r$ an
Externí odkaz:
http://arxiv.org/abs/2101.00104
Operators without eigenvalues in finite-dimensional vector spaces: Essential uniqueness of the model
Autor:
Ćurgus, Branko, Dijksma, Aad
Publikováno v:
In Linear Algebra and Its Applications 15 December 2023 679:86-98
Akademický článek
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Autor:
Ćurgus, Branko, Dijksma, Aad
Publikováno v:
In Linear Algebra and Its Applications 15 November 2020 605:63-117
Autor:
Ćurgus, Branko, Derkach, Vladimir
A self-adjoint operator $A$ in a Krein space $\bigl({\mathcal K},[\,\cdot\,,\cdot\,]\bigr)$ is called partially fundamentally reducible if there exist a fundamental decomposition ${\mathcal K} = {\mathcal K}_+ [\dot{+}] {\mathcal K}_-$ (which does no
Externí odkaz:
http://arxiv.org/abs/1407.7108
Publikováno v:
Integr. Equat. Oper. Theory 77 (2013), 533-557
We consider a regular indefinite Sturm-Liouville eigenvalue problem \{$-f" + q f = \lambda r f$} on $[a,b]$ subject to general self-adjoint boundary conditions and with a weight function $r$ which changes its sign at finitely many, so-called turning
Externí odkaz:
http://arxiv.org/abs/1306.1329
Autor:
Bényi, Árpád, Ćurgus, Branko
We define the notions of outer medians and outer median triangles. We show that outer median triangles enjoy similar properties to that of the median triangle.
Comment: 9 pages, 9 figures
Comment: 9 pages, 9 figures
Externí odkaz:
http://arxiv.org/abs/1305.3513
Autor:
Ćurgus, Branko, Dijksma, Aad
We give a self-contained proof that the nullity of the Bezoutian matrix associated with a pair of polynomials $f$ and $g$ equals the number of their common zeros counting multiplicities.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/1208.2385
Autor:
Bényi, Árpád, Ćurgus, Branko
We characterize triples of cevians which form a triangle independent of the triangle where they are constructed. This problem is equivalent to solving a three-parameter family of inequalities which we call Ceva's triangle inequalities. Our main resul
Externí odkaz:
http://arxiv.org/abs/1206.1636
Autor:
Benyi, Arpad, Curgus, Branko
We prove a generalization of the well known Routh's triangle theorem. As a consequence, we get a unification of the theorems of Ceva and Menelaus. A connection to Feynman's triangle is also given.
Comment: 7 pages, 8 figures
Comment: 7 pages, 8 figures
Externí odkaz:
http://arxiv.org/abs/1112.4813