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Singular — General — Indefinite
1974Von Freytag’s little book contains scarcely any information on the logic of logophoric terms. We therefore have no choice but to give considerable weight to his brief remarks on this topic. The reader will remember that he says: “…“der (die, das)” heisst das Element” (1961/65; cp. III-4).
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NONREAL EIGENVALUES OF SINGULAR INDEFINITE STURM–LIOUVILLE PROBLEMS
Rocky Mountain Journal of MathematicsA singular indefinite Sturm-Liouville problem \(-(py')' + q y = \lambda w y\) with \(p, |w| > 0\) a.e. is considered on a finite interval \((a, b)\) equipped with self-adjoint boundary conditions (in an indefinite sense). In case of sign changes of \(w\) there may appear nonreal eigenvalues.
Han, Xiaoxue, Sun, Fu
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Positive periodic solution to indefinite singular Liénard equation
Positivity, 2018The authors consider a scalar equation of the type \[ x''+f(x)x'+\frac{b(t)}{x}=p(t)\,, \] where \(f:{\mathbb R}\to{\mathbb R}\) is continuous, and \(b,p:{\mathbb R}\to{\mathbb R}\) are continuous and \(T\)-periodic. Under some assumptions on the functions \(b\) and \(p\), they prove the existence of a positive \(T\)-periodic solution.
Yun Xin, Zhibo Cheng
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The spectra of indefinite singular Sturm-Liouville operators
2022In der vorliegenden Arbeit werden die spektralen Eigenschaften singulärer Sturm-Liouville- Differentialoperatoren der Form Af=1/r(︁−(pf′)′ + qf)︁ mit reellwertigen Koeffizienten p, q und r untersucht. Hierbei betrachten wir indefinite Gewichtsfunktionen r.
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Indefinite Eigenvalue Problems with Several Singular Points and Turning Points
Mathematische Nachrichten, 2001The authors' summary: The authors consider a general case of eigenvalue problems with two-point boundary conditions on a finite interval generated by a differential equation with an indefinite weight function which has several zeros and/or poles. As a basic result, the authors derive asymptotic estimates on a special fundamental system of solutions to ...
Eberhard, Walter +2 more
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Preconditioning of Indefinite and Almost Singular Finite Element Elliptic Equations
SIAM Journal on Scientific Computing, 1998Summary: This paper deals with two ways of solving discretized finite element elliptic equations with indefinite and almost singular matrices. Such problems typically arise when applying the shifted inverse power iteration method to the generalized eigenvalue problem \(A u=\lambda B u\) where \(A\) is defined from some discretized equation by a finite ...
Neytcheva, Maya G. +1 more
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Singular unitary representations and indefinite harmonic theory
2008Abstract Square-integrable harmonic spaces are defined and studied in a homogeneous indefinite metric setting. In the process, Dolbeault cohomologies are unitarized, and singlar unitary representations are obtained and studied.
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The Singular Indefinite Article with Mass Nouns
2008This talk bears on the occurrence of the singular indefinite article in noun phrases whose head noun may be regarded as 'mass'. This apparently paradoxical combination is illustrated in three languages: French, English and Haitian creole, and compared with the semantic equivalents in Hebrew.
Cohen, Dana, Zribi-Hertz, Anne
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Singular Perturbation Problems Using Indefinite Lyapunov Functions
2017With a dynamic system of differential equations consisting of many variables the singular perturbation methods are of great importance.
ALBOSTAN, Ayhan, ÖZEK, Ahmet
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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