31 research outputs found
Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation
No full textWe look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation. Using Clunie's lemma, we first prove that any meromorphic solution M is necessarily elliptic or degenerate elliptic. We then give the two canonical decompositions of the new elliptic solution recently obtained by the subequation method. © 2012 The Author(s).postprin
Bibliometric analysis of the articles published in the Rawal Medical Journal between 2008 and 2019
No full textObjective: To present bibliometric analysis of the articles published in Rawal Medical Journal (RMJ) from 2008 to2019.Methodology: We used the Scopus database, during the months of August and September 2020, for the retrieval and analysis of RMJ publications. We downloaded the retrieved dataset in the Comma Separated Values (CSV) format and transferred the file to a Microsoft Excel Spreadsheet for analysis. We also compared the citations of top 10 most cited RMJ publications in the Scopus to the Google Scholar citations. Results: A total of 1,487 articles were found, published in 12 volumes and 42 issues, with an average of 3.91 pages per document. The articles published in RMJ received 1,003 citations in the Scopus database with an impact of 0.67 citations per article. The Shifa International Hospital, Islamabad was the most contributing organization with 82 publications and Ashfaq Ahmed was the most contributing author with 21 publications. The authors, outside Pakistan, belonged to 31 countries and Jordan was ranked first with 119 publications. Conclusion: A promising growth in the number of publications in RMJ is observed during last 12 years. However, there is a dire need to encourage authors to write on innovative ideas in collaboration with international researchers to enhance the citation impact of articles published in the journa
Singularity methods for meromorphic solutions of differential equations
No full textConsider an N -th order algebraic ordinary differential equation (ODE) for u(x) which may or may not possess the Painleve´ property (PP), defined as the absence of movable critical singularities in the general solution, a singularity being called “critical” if multivaluedness takes place around it. This does not prevent the existence of particular solutions obeying a lower order ODE with the PP. Let us therefore address the problem to find all such solutions (i.e. without movable critical singularities) in closed form. We restrict here to autonomous ODEs, i.e. which do not depend explicitly on the independent variable x ∈ C
On polar Legendre polynomials
No full text10 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C25.-- ArXiv pre-print available at: http://arxiv.org/abs/0709.4537Accepted in Rocky Mountain Journal of Mathematics.We introduce a new class of polynomials {Pn}, that we call polar Legendre polynomials, they appear as solutions of an inverse Gauss problem of equilibrium
position of a field of forces with n + 1 unit masses. We study algebraic, differential
and asymptotic properties of this class of polynomials, that are simultaneously
orthogonal with respect to a differential operator and a discrete-continuous Sobolev
type inner product.Research by first author (H.P.) was partially supported by Dirección General de Investigación, Ministerio de Ciencia y Tecnología de España, under grant MTM2006-13000-C03-02, by Comunidad de Madrid-Universidad Carlos III de Madrid, under grant CCG06-UC3M/EST-0690 and by Centro de Investigación Matemática de Canarias (CIMAC). Research by second author (J.Y.B.) was supported by CNPq-TWAS. Research by third author (W.U.) was partially supported by Centro de Investigación Matemática de Canarias (CIMAC).En prens
Orthogonal polynomials with respect to a differential operator. Existence and uniqueness
No full text15 pages, no figures.-- MSC1991 codes: Primary 42C05.MR#: MR1934900 (2003i:42033)Zbl#: Zbl 1029.42018A new type of orthogonal polynomial connected withlin ear differential operators, intimately related withS obolev orthogonal polynomials and Hermite-Padé polynomials, is introduced. We study the question of uniqueness of the sequence of orthogonal polynomials arising from this construction. As we show, this problem is related to the analytic properties of the fundamental system of solutions of the operator. The notion of T-system of Tchebyshev plays a key role in the analysis. Some examples of general classes of operators which produce a unique system of polynomials are given.The research of the first author (A.I.A.) was supported by grant 93-01278 of the Russian
Basic Research Foundation. The research of the second (G.T.L.L.) and third (F.M.) authors was supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain under grant BFM2000-0206-C04-01, and INTAS 2000-272.Publicad
Cardinal invariants and special maps of quasicontinuous functions with the topology of pointwise convergence
No full text[EN] For topological spaces X and Y, let Qp(X,Y) be the space of all quasicontinuous functions from X to Y with the topology of pointwise convergence. In this paper, we study the cardinal invariants such as cellularity, character, weight, density, pseudocharacter and spread of the space Qp(X,Y). We also discuss the properties of the restriction and induced maps related to the space Qp(X,Y).The first author acknowledges the fellowship grant of University Grant Commission, India with Student-ID DEC18-414765.Kumar, M.; Tyagi, BK. (2022). Cardinal invariants and special maps of quasicontinuous functions with the topology of pointwise convergence. Applied General Topology. 23(2):303-314. https://doi.org/10.4995/agt.2022.16925OJS303314232A. V. Arhangel'skii, Topological Function Spaces, Mathematics and its Applications (Soviet Series), vol. 78, Kluwer Academic Publishers Group, Dordrecht, 1992.J. Borsík, Points of continuity, quasicontinuity and cliquishness, Rend. Istit. Mat. Univ. Trieste 26 (1994), 5-20.R. Cazacu and J. D. Lawson, Quasicontinuous functions, domains, and extended calculus, Appl. Gen. Topol. 8 (2007), 1-33. https://doi.org/10.4995/agt.2007.1908A. Crannell, M. Frantz and M. LeMasurier, Closed relations and equivalence classes of quasicontinuous functions, Real Anal. Exchange 31 (2005/06), 409-424. https://doi.org/10.14321/realanalexch.31.2.0409R. Engelking, General Topology, Sigma Series in Pure Mathematics, vol. 6, Heldermann Verlag, Berlin, 1989.L. Holá and D. Holý, Minimal {USCO} maps, densely continuous forms and upper semi-continuous functions, Rocky Mountain J. Math. 39 (2009), 545-562. https://doi.org/10.1216/RMJ-2009-39-2-545L. Holá and D. Holý, Pointwise convergence of quasicontinuous mappings and {B}aire spaces, Rocky Mountain J. Math. 41 (2011), 1883-1894. https://doi.org/10.1216/RMJ-2011-41-6-1883L. Holá and D. Holý, Quasicontinuous functions and the topology of pointwise convergence, Topology Appl. 282 (2020), Article No. 107301. https://doi.org/10.1016/j.topol.2020.107301D. Holý and L. Matejíčka, Quasicontinuous functions, minimal {USCO} maps and topology of pointwise convergence, Math. Slovaca 60 (2010), 507-520. https://doi.org/10.2478/s12175-010-0029-3S. Kempisty, Sur les fonctions quasicontinues, Fundamenta Mathematicae 19 (1932), 184-197. https://doi.org/10.4064/fm-19-1-184-197P. S. Kenderov, I. S. Kortezov and W. B. Moors, Topological games and topological groups, Topology Appl. 109 (2001), 157-165. https://doi.org/10.1016/S0166-8641(99)00152-2P. S. Kenderov, I. S. Kortezov and W. B. Moors, Continuity points of quasi-continuous mappings, Topology Appl. 109 (2001), 321-346. https://doi.org/10.1016/S0166-8641(99)00180-7N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41. https://doi.org/10.1080/00029890.1963.11990039R. A. McCoy and I. Ntantu, Topological Properties of Spaces of Continuous Functions, Lecture Notes in Mathematics, vol. 1315, Springer-Verlag, Berlin, 1988. https://doi.org/10.1007/BFb0098389T. Neubrunn, Quasi-continuity, Real Anal. Exchange 14 (1988/89), 259-306. https://doi.org/10.2307/44151947Z. Piotrowski, A survey of results concerning generalized continuity of topological spaces, Acta Math. Univ. Comenian. 52/53 (1987), 91-110.V. V. Tkachuk, A -Theory Problem Book, Topological and function spaces, Problem Books in Mathematics, Springer, New York, 2011. https://doi.org/10.1007/978-1-4419-7442-
Closed-form meromorphic solutions of some third order boundary layer ordinary differential equations
No full textInternational audienceWe introduce a general third order non-linear autonomous ODE which covers many ODEs coming from boundary layer problems, like the Falkner-Skan equation and the Cheng-Minkowycz equation. Using Wiman-Valiron theory and complex analytic methods recently developed, for the generic cases, it is shown that all their meromorphic solutions must be rational, or rational in one exponential, and then we find all of them explicitly. For a few non-generic cases, some solutions, which are meromorphic or singlevalued, are also obtained. Our results also explain why it is so difficult to obtain new closed-form solutions of the Falkner-Skan equation
Can the concept of “lean management” be applied to academic recruitment? – a quasi-theoretical discourse
No full textThis paper seeks to emphasise the need to re-evaluate university teacher recruitment processes.The implementation of lean processes helps to improve organisational practices; in the case of universityrecruitment, however, organisational processes have remained unchanged for decades. Although there is atraditional justification for having academic recruitment as a rigorous and complex process (as a practicedmethod by which to identify the most suitable applicants), the increase of competition across the sector, andthe internet revolution, has rendered these older methods partially ineffective. The author argues thatrecruitment systems and practices need reviewing to overhaul inefficacious elements
Topical application of heparin for the correction of ocular surface lesions
No full text
Yartsev V.D.
Scientific Research Institute of Eye Diseases, Moscow
The article considers historical aspects of topical application of heparin in ophthalmology, it provides the description of anti-inflammatory action mechanism of heparin. The study describes in detail the indications for application of heparin ointment or heparin eye-drops in mono- or complex-therapy of dry eye syndrome, traumatic and burn keratitis, in some types of keratopathy. The experience of Russian and foreign researchers is analyzed (51 source in total). The author comes to the conclusion that topical use of heparin is pathogenically justified in the treatment of different inflammatory, dystrophic and degenerative conditions of ocular surface. Special attention is given to the treatment of patients with corneal burn. Disinfectant properties of heparin were found to be useful for etiotropic treatment of the patients with conjunctivitis or keratitis in mono- or combined therapy. The new drug forms of heparin, such as ocular ointment and eye drops, enable to choose the dose of the drug individually and accurately for the patients with different pathology of ocular surface, thus personifying the treatment.
Key words: heparin, artificial tear, ocular surface, dry eye syndrome, keratopathy, corneal burn, PARIN-POS®, HYLOPARIN-COMOD®.
For citation: Yartsev V.D. Topical application of heparin for the correction of ocular surface lesions. RMJ “Clinical ophthalmology”. 2018;2:97–101.<br
