Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Myron K. Grammatikopoulos"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2003, Iss 21, Pp 1-14 (2003)
In this article we consider a boundary-value problem for the equation ${f(t,x,x',x'')=0}$ with mixed boundary conditions. Assuming the existence of suitable barrier strips, and using the monotone iterative method, we obtain the minimal and maximal so
Externí odkaz:
https://doaj.org/article/a81e3d0188fa4f70a2693f8265db479f
Publikováno v:
Electronic Journal of Differential Equations, Vol 2003, Iss 03, Pp 1-31 (2003)
In 1952, at a conference in New York, Protter formulated some boundary value problems for the wave equation, which are three-dimensional analogues of the Darboux problems (or Cauchy-Goursat problems) on the plane. Protter studied these problems in a
Externí odkaz:
https://doaj.org/article/346fd5d370434e12b40446099b9d131f
Publikováno v:
Abstract and Applied Analysis, Vol 2003, Iss 15, Pp 843-864 (2003)
Externí odkaz:
https://doaj.org/article/74cdfd8d17864090b5025b99a780cf1e
Publikováno v:
Electronic Journal of Differential Equations, Vol 2001, Iss 01, Pp 1-26 (2001)
In this paper we study boundary-value problems for the wave equation, which are three-dimensional analogue of Darboux-problems (or of Cauchy-Goursat problems) on the plane. It is shown that for $n$ in $mathbb{N}$ there exists a right hand side smooth
Externí odkaz:
https://doaj.org/article/d9c69235e65b43c7a77db07c22471d78
Autor:
John R. Graef, Myron K. Grammatikopoulos, Yuichi Kitamura, Takasi Kusano, Hiroshi Onose, Paul W. Spikes
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 7, Iss 2, Pp 249-256 (1984)
The authors give sufficient conditions for all oscillatory solutions of a sublinear forced higher order nonlinear functional differential equation to converge to zero. They then prove a nonoscillation theorem for such equations. A few intermediate re
Externí odkaz:
https://doaj.org/article/c06a857d09704ed9ac38c271e989a7cc
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 5, Iss 2, Pp 263-273 (1982)
The n-th order nonlinear functional differential equation [r(t)x(n−υ)(t)](υ)=f(t,x(g(t)))is considered; necessary and sufficient conditions are given for this equation to have: (i) a positive bounded solution x(t)→B>0 as t→∞; and (ii) all p
Externí odkaz:
https://doaj.org/article/aaddff68c7034fffbbd8bd82834ccb39
Publikováno v:
Proceedings of Indian National Science Academy, Vol 16, Iss 3 (2015)
OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF HIGHER ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS
Publikováno v:
Journal of Mathematical Analysis and Applications. 223(2):418-428
In this paper we consider a functional differential equation of general form. Using the Laplace transform, we prove that such an equation has a nonoscillatory solution if and only if the characteristic equation has a real zero.
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 21:23-42
Publikováno v:
Oscillation and Dynamics in Delay Equations. :105-114