A class of generalized uniform asymptotic expansions.
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Obi, Wilson C. (1978)
International Journal of Mathematics and Mathematical Sciences
Manabu Sakai, Riaz A. Usmani (1987)
Numerische Mathematik
Roos, Hans-Görg, Vanselow, Reiner (2008)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Raúl Naulin (1991)
Revista colombiana de matematicas
Eugene O'Riordan, Martin Stynes (1986/1987)
Numerische Mathematik
Stojanović, Mirjana (1987)
Publications de l'Institut Mathématique. Nouvelle Série
Rainer Schimming (1991)
Archivum Mathematicum
Usón-Forniés, Fernando (2000)
Revista Colombiana de Matemáticas
Goldfeder, P.M., Volpert, V.A. (1999)
Mathematical Problems in Engineering
Germanovich, O.P., Malyshev, A.V. (2003)
Sibirskij Matematicheskij Zhurnal
Frederick A. Howes (1980)
Czechoslovak Mathematical Journal
M. Zurro (1997)
Studia Mathematica
The paper studies the relation between asymptotically developable functions in several complex variables and their extensions as functions of real variables. A new Taylor type formula with integral remainder in several variables is an essential tool. We prove that strongly asymptotically developable functions defined on polysectors have extensions from any subpolysector; the Gevrey case is included.
Alan Ho (1997)
Revista Matemática Iberoamericana
In this follow-up on the work of Fefferman-Seco [FS] an improved condition for the discrete eigenvalues of the operator -d2 / dx2 + V(x) is established for V(x) satisfying certain hypotheses. The eigenvalue condition in [FS] establishes eigenvalues of this operator to within a small error. Through an obervation due to C. Fefferman, the order of accuracy can be improved if a certain condition is true. This paper improves on the result obtained in [FS] by showing that this condition does indeed hold....
Çakır, Musa, Amiraliyev, Gabil M. (2010)
Journal of Applied Mathematics
Vats, Vipin B., Parthasarathy, H. (2006)
Differential Equations & Nonlinear Mechanics
Josef Dalík (1991)
Applications of Mathematics
A general construction of test functions in the Petrov-Galerkin method is described. Using this construction; algorithms for an approximate solution of the Dirichlet problem for the differential equation are presented and analyzed theoretically. The positive number is supposed to be much less than the discretization step and the values of . An algorithm for the corresponding two-dimensional problem is also suggested and results of numerical tests are introduced.
Vrabel, Robert (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Peter Smith (1990)
Revista Matemática de la Universidad Complutense de Madrid
Saddle connections and subharmonics are investigated for a class of forced second order differential equations which have a fixed saddle point. In these equations, which have linear damping and a nonlinear restoring term, the amplitude of the forcing term depends on displacement in the system. Saddle connections are significant in nonlinear systems since their appearance signals a homoclinic bifurcation. The approach uses a singular perturbation method which has a fairly broad application to saddle...
A.K. Aziz, R.B. Kellogg, ... (1988)
Numerische Mathematik
M.J. O Reilly (1986/1987)
Numerische Mathematik
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