This paper studies the existence and the non-existence of global solutions to the initial boundary value problems for the non-linear wave equation The paper proves that every above-mentioned problem has a unique global solution under rather mild con"ning conditions, and arrives at some su$cient con
The geometric ergodicity and existence of moments for a class of non-linear time series model
β Scribed by Hongzhi An; Min Chen; Fuchun Huang
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 457 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
In this paper we consider the non-linear time series model Xt = ~,t(O~O "~-0~11X,--I I "~ +...
π SIMILAR VOLUMES
This paper proposes a new type of time series model to identify the characteristics of non-linear dynamical structures. The model simultaneously accommodates three kinds of output signals, acceleration, velocity and displacement. This model is more sensitive to non-linearity than models utilising on
The proofs of Theorems 2 and 3 are very laborious and must be omitted. We merely mention that the proof of Theorem 2 is based on the definition of regular mapping, while the proof of Theorem 3 is based on Lemmas 6,7,17,18,and 19.
This paper studies the existence of the uniformly minimum risk unbiased (UMRU) estimators of parameters in a class of linear models with an error vector having multivariate normal distribution or t-distribution, which include the growth curve model, the extended growth curve model, the seemingly unr
## Abstract We consider a class of quasiβlinear evolution equations with nonβlinear damping and source terms arising from the models of nonβlinear viscoelasticity. By a Galerkin approximation scheme combined with the potential well method we prove that when __m__<__p__, where __m__(β©Ύ0) and __p__ ar