Results 11 to 20 of about 4,951 (263)
Subharmonic bouncing solutions of generalized Lazer–Solimini equation
Electronic Journal of Qualitative Theory of Differential Equations, 2021 The paper deals with the singular differential equation $x'' + g(x) = p(t)$, with $g$ having a weak singularity at $x=0$ and $2\pi$-periodic function $p$.
Jan Tomeček, Věra Krajščáková
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Mapping local singularities using magnetic data to investigate the volcanic rocks of the Qikou depression, Dagang oilfield, eastern China [PDF]
Nonlinear Processes in Geophysics, 2013 The spatial structural characteristics of geological anomaly, including singularity and self-similarity, can be analysed using fractal or multifractal modelling. Here we apply the multifractal methods to potential fields to demonstrate that singularities
G. Chen, Q. Cheng, T. Liu, Y. Yang
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Mathematical Modelling and Analysis, 2009 We propose a piecewise polynomial collocation method for solving linear Volterra integral equations of the second kind with kernels which, in addition to a weak diagonal singularity, may have a weak boundary singularity.
Marek Kolk, Arvet Pedas
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Weak Singularities and the Continuous Newton Method
Journal of Mathematical Analysis and Applications, 1999 This paper discusses the determination of singular zeros of a given nonlinear function \(f\) in finite dimensions. Necessary and sufficient conditions are given that the Newton field \(df^{-1}f\) be smoothly extended to the singular points, and the singular zeros thus determined in a way similar to that for regular zeros.
Riaza, Ricardo, Zufiria, Pedro J.
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On a characterization of $m$-subharmonic functions with weak singularities
Annales Polonici Mathematici, 2018 Summary: We provide a characterization of functions in Cegrell's energy class \(\mathcal{E}_{p,m}\).
Åhag, Per, Czyż, Rafał
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Recent Existence Results for Second-Order Singular Periodic Differential Equations
Boundary Value Problems, 2009 We present some recent existence results for second-order singular periodic differential equations. A nonlinear alternative principle of Leray-Schauder type, a well-known fixed point theorem in cones, and Schauder's fixed point theorem are used in the ...
Nieto JuanJ, Chu Jifeng
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EXACT SOLUTION FOR THE CRACK EMANATING FROM THE TOP OF TWO DISSIMILAR WEDGES
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019 In the framework of the antiplane problem, a closed connection of two different isotropic wedges is considered, from the top of which a finite-length crack emerges at an arbitrary angle to the axis of symmetry of the structure. By reducing the problem to
Tikhomirov Victor
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Weak (1,1) bounds for oscillatory singular integrals
Duke Mathematical Journal, 1987 Theorem. For any polynomial P: \({\mathbb{R}}^ n\times {\mathbb{R}}^ n\to {\mathbb{R}}\) and any Calderón-Zygmund kernel K, the operator \(Tf(x)=p.v.\int e^{iP(x,y)}K(x-y)f(y)dy\) is of weak type (1,1) with a bound depending only on \(\| K\|_{CZ}\) and the degree of P.
Chanillo, Sagun, Christ, Michael
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String excitation by initial singularity of inflation
Journal of High Energy Physics, 2021 We discuss excitation of string oscillation modes by an initial singularity of inflation. The initial singularity of inflation is known to occur with a finite Hubble parameter, which is generally lower than the string scale, and hence it is not clear ...
Kanji Nishii, Daisuke Yoshida
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Gravitationally collapsing stars in f(R) gravity
European Physical Journal C: Particles and Fields, 2021 The gravitational dynamics of a collapsing matter configuration which is simultaneously radiating heat flux is studied in f(R) gravity. Three particular functional forms in f(R) gravity are considered to show that it is possible to envisage boundary ...
Suresh C. Jaryal, Ayan Chatterjee
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