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Proceedings. United States - Japan Seminar on Differential and Functional Equations, University of Minnesota, Minneapolis, Minnesota, June 26-30, 1967, edited by William A. Harris Jr. and Yasutaka Sibuya. W.A. Benjamin, Inc., New York, Amsterdam, 1967. 500 pages. $8 50

J. Aczel
1968 Canadian mathematical bulletin  
The author proceeds carefully with a good deal of attention to rigour, although he admits to a certain amount of "hand-waving" at times.  ...  Kazarinoff, Recent Results and Unsolved Problems in Diffraction Theory. Tosihusa Kimura, On the Global Theory of Algebraic Differential Equations. W.S.  ...  Wilfred Kaplan, Analytic Ordinary Differential Equations in the Large. Junji Kato, On the Existence of a Solution Approaching Zero for Functional Differential Equations. Nicholas D.  ... 
doi:10.1017/s0008439500029684 fatcat:msa5myv55re2xjxd6zrhwlvkpi

Spectrum-Based Robust Stability Analysis of Linear Delay Differential-Algebraic Equations [chapter]

Vu Hoang Linh, Do Duc Thuan
2015 Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory  
In this talk we discuss recent results on the robust stability analysis of linear delay ordinary differential equations (DODEs) and linear delay differential-algebraic equations (DDAEs).  ...  We close the talk by mentioning some further related results and topics for future research. References [1] N.H. Du, V. H. Linh, and V. Mehrmann, Robust stability of differential-algebraic equations.  ...  In this talk we discuss recent results on the robust stability analysis of linear delay ordinary differential equations (DODEs) and linear delay differential-algebraic equations (DDAEs).  ... 
doi:10.1007/978-3-319-15260-8_19 fatcat:iffd7atltnczfoliwqfvjoafsa

Page 4952 of Mathematical Reviews Vol. , Issue 98H [page]

1998 Mathematical Reviews  
Langley [Results Math. 16 (1989), no. 1-2, 3-15; MR 90m:34009] for a second order equation.” 98h:34006 34A20 Gundersen, Gary G.  ...  of some ordinary non- homogeneous and homogeneous differential equations of order n.  ... 

Page 1609 of Mathematical Reviews Vol. 41, Issue 6 [page]

1971 Mathematical Reviews  
Lehrer-Ilamed (Yavne) 8736 ORDINARY DIFFERENTIAL EQUATIONS ORDINARY DIFFERENTIAL EQUATIONS See also 9054, 9055, 9078, 9446, 9589, 9590. Barbashin, E. A. [BarbaSin, E.  ...  The nth order, linear, homogeneous, ordinary differential equation is treated.  ... 

Page 2593 of Mathematical Reviews Vol. 58, Issue 4 [page]

1979 Mathematical Reviews  
Geometrical foundations and results on a problem suggested in a paper by Anderson and Davison: “A generalization of Lie’s ‘counting’ theorem for second-order ordinary differential equations” (J.  ...  A necessary condition for a to be a defect value of a meromorphic 58 #17268 Ordinary Differential Equations 58 #17270 34 solution of finite order to the equation (1) is that F(z, a, 0,- - - , 0) =0.  ... 

Page 1763 of Mathematical Reviews Vol. , Issue 2003C [page]

2003 Mathematical Reviews  
The authors give an algebraic formulation of the Lie symmetries of ordinary differential equations.  ...  Summary: “A description of the full symmetry algebra (i.e., includ- ing higher symmetries) for a general nonlinear system of ordinary differential equations is given in terms of its general solution and  ... 

On the problem of Baer and Kolchin in the Picard-Vessiot theory

Beata Kocel-Cynk, Elżbieta Sowa
2011 Banach Center Publications  
We present the history of the development of Picard-Vessiot theory for linear ordinary differential equations.  ...  Some new results concerning existence of a Picard-Vessiot extension for a homogeneous linear ordinary differential equation defined over a real differential field K with real closed field of constants  ...  linear ordinary differential equation considered is algebraically closed.  ... 
doi:10.4064/bc94-0-14 fatcat:apiiuat2ancuvd7nnktchmrzjq

Richard D. Schafer, An Introduction to Nonassociative Algebras (Academic Press Inc., New York and London, 1966), x+166 pp., 64s

I. M. H. Etherington
1969 Proceedings of the Edinburgh Mathematical Society  
attempting to learn topological vector space theory with a view to using its results in partial differential equations.  ...  In the first, by introducing the theory of finite difference operators and drawing heavily on a knowledge of the solution of ordinary differential equations, the solution of finite difference equations  ... 
doi:10.1017/s0013091500012852 fatcat:2bqsew3qezappmezopohcgizvy

Integrating linear ordinary fourth-order differential equations in the MAPLE programming environment

Irina Belyaeva, Igor Kirichenko, Oleh Ptashnyi, Natalia Chekanova, Tetiana Yarkho
2021 Eastern-European Journal of Enterprise Technologies  
This paper reports a method to solve ordinary fourth-order differential equations in the form of ordinary power series and, for the case of regular special points, in the form of generalized power series  ...  The program for solving ordinary fourth-order differential equations could be used to construct Green's functions of boundary problems, to solve differential equations with private derivatives, a system  ...  A method has been constructed for solving a linear ordinary differential equation of the fourth order in an analytical form.  ... 
doi:10.15587/1729-4061.2021.233944 fatcat:gpsftxmpavew3ivuaoldj6yqfu

Page 2508 of Mathematical Reviews Vol. , Issue 2002D [page]

2002 Mathematical Reviews  
Our results generalize and improve some results shown in ordinary differential equations by M. Hirsch and others.” 2002d:34005 34A12 34BI5 49K40 Bartkiewicz, M.  ...  Summary: “This paper is devoted to discussing asymptotic behav- iors for algebraic-differential systems by the use of monotone flow theory.  ... 

Page 136 of Mathematical Reviews Vol. 51, Issue 1 [page]

1976 Mathematical Reviews  
The application of this generalization to an nth order ordinary differential equation shows that the maximal set of algebraically independent labels for a transformation is {x, yy’, >, y"-»}.  ...  The possibility of using higher derivatives in the transformation laws for ordinary differential equations is well known for second-order ordinary differential equations in the Hamiltonian formulation  ... 

Page 104 of Mathematical Reviews Vol. , Issue 90A [page]

1990 Mathematical Reviews  
This set of lecture notes is a good survey of recent research on differential algebra in the ordinary differential case and its appli- cations to ordinary differential equations.  ...  The author intends among other things to deal with “arbitrary constants” of the usual theory of ordinary differential equations in the manner of differential algebra.  ... 

Page 1096 of Mathematical Reviews Vol. , Issue 2000b [page]

2000 Mathematical Reviews  
Systems of ordinary differential equations (explicit systems as well as differential-algebraic equations) are investigated using differ- ential geometric ideas involving jet spaces.  ...  Yoshizawa [Stability theory and the existence 34 ORDINARY DIFFERENTIAL EQUATIONS 1096 of periodic solutions and almost periodic solutions, Springer, New York, 1975; MR 57 #6673].  ... 

Page 604 of Mathematical Reviews Vol. , Issue 91B [page]

1991 Mathematical Reviews  
Karsai, Some attractivity results for second order nonlinear ordinary differential equations (pp. 291-305); J. Kato, Phase space for functional-differential equations (pp. 307-325); V.  ...  Pelczar, Generalized peri- odic problems for ordinary and partial differential equations (pp. 485-505); I.  ... 

Page 980 of Mathematical Reviews Vol. , Issue 2002B [page]

2002 Mathematical Reviews  
Recently, many results on local bifurcations for ordinary dif- ferential equations using computer algebra systems have been ob- tained [see, e.g., E. M. James and N. G. Lloyd, IMA J. Appl.  ...  ISBN 5-02-031441-2 The present monograph is concerned with a solution theory for differential-algebraic systems of the form (*) (d/dx)(A(t)x) = B(t)x + f(t), Both authors have been working for a long time  ... 
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