On the asymptotic behaviour of the equation with a complex-valued function
Displaying 41 – 60 of 70
On the asymptotic classes of solutions of a superlinear differential equation
David Lowell Lovelady (1977)
Czechoslovak Mathematical Journal
On the asymptotic expansion of the Airy function
Fausto Segala (1999)
Bollettino dell'Unione Matematica Italiana
Si prova una nuova formula di rappresentazione per la famosa funzione di Airy. Ne viene data applicazione per la determinazione di certi bounds significativi per la funzione stessa.
On the Asymptotic Relationship at Infinity between the solutions of two Differential Systems
Vasilios Staikos (1972)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
On the asymptotic series solution of some higher order linear differential equations at turning points.
Gorman, Arthur D. (1984)
International Journal of Mathematics and Mathematical Sciences
On the averaging method for differential equations with delay.
Lakrib, Mustapha (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
On the behaviour of solutions of the differential equations
N. Parhi, S. Parhi (1986)
Annales Polonici Mathematici
On the convergence of multistep methods for nonlinear stiff differential equations.
C. Lubich (1990/1991)
Numerische Mathematik
On the exact WKB analysis of microdifferential operators of WKB type
Takashi Aoki, Takahiro Kawai, Tatsuya Koike, Yoshitsugu Takei (2004)
Annales de l’institut Fourier
We first introduce the notion of microdifferential operators of WKB type and then develop their exact WKB analysis using microlocal analysis; a recursive way of constructing a WKB solution for such an operator is given through the symbol calculus of microdifferential operators, and their local structure near their turning points is discussed by a Weierstrass-type division theorem for such operators. A detailed study of the Berk-Book equation is given in Appendix.
On the existence of a measure unbounded exponential spectral characteristic set of a linear system with a small parameter at the derivative.
Izobov, N., Krasovskij, S. (1998)
Memoirs on Differential Equations and Mathematical Physics
On the existence of canard solutions
Daniel Panazzolo (2000)
Publicacions Matemàtiques
We study the existence of global canard surfaces for a wide class of real singular perturbation problems. These surfaces define families of solutions which remain near the slow curve as the singular parameter goes to zero.
On the existence of solutions of the singular Cauchy problem for systems of differential equations not solved with respect to the derivatives.
Diblík, Jozef (1985)
Publications de l'Institut Mathématique. Nouvelle Série
On the functional integrability and asymptotic behaviours of a certain differential equation with delay
Aleksandra Wyrwińska (1983)
Mathematica Slovaca
On the -boundedness of solutions for products of quasi-integro differential equations.
Ibrahim, Sobhy El-Sayed (2003)
International Journal of Mathematics and Mathematical Sciences
On the Liouville-type transformation for differential systems
Ondřej Došlý (1987)
Mathematica Slovaca
On the number of positive solutions of singularly perturbed 1D nonlinear Schrödinger equations
Patricio Felmer, Salomé Martínez, Kazunaga Tanaka (2006)
Journal of the European Mathematical Society
We study singularly perturbed 1D nonlinear Schrödinger equations (1.1). When has multiple critical points, (1.1) has a wide variety of positive solutions for small and the number of positive solutions increases to as . We give an estimate of the number of positive solutions whose growth order depends on the number of local maxima of . Envelope functions or equivalently adiabatic profiles of high frequency solutions play an important role in the proof.
On the order reduction of optimal control systems
Asen L. Dontchev (1985)
Banach Center Publications
On the question of generalized solution to algebro-differential systems.
Shcheglova, A.A. (2002)
Sibirskij Matematicheskij Zhurnal
On the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions.
Xie, Feng, Jin, Zhaoyang, Ni, Mingkang (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
On the time-dependent parabolic wave equation.
Gorman, Arthur D. (2002)
International Journal of Mathematics and Mathematical Sciences