Zobrazeno 1 - 10
of 14
pro vyhledávání: '"V. L. Bakke"'
Autor:
V. L. Bakke, Z. Jackiewicz
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 9, Iss 3, Pp 447-458 (1986)
Stability properties of linear multistep methods for delay differential equations with respect to the test equation y′(t)=ay(λt)+by(t), t≥0,0
Externí odkaz:
https://doaj.org/article/538f7ec8782e40f498c052ffe8414545
Autor:
V. L. Bakke, Zdzislaw Jackiewicz
Publikováno v:
IMA Journal of Numerical Analysis. 12:243-257
Stability analysis of multilag and modified multilag methods for Volterra integrodifferential equations is presented, with respect to the nonconvolution test equation y'(t)=γy(t)+∫ t 0 (λ+μt+νs)y(s)ds (t≥0), where γ, λ, μ, and ν are real
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd298f389c25e14df44faa8a71462583
https://doi.org/10.1093/imanum/12.2.243
https://doi.org/10.1093/imanum/12.2.243
Autor:
Zdzislaw Jackiewicz, V. L. Bakke
Publikováno v:
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 68:89-100
Stability properties of numerical methods for Volterra integro differential equations based on the convolution test equation are investigated. Stability regions of reducible linear multistep methods and modified multilag methods are given and compare
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef71043161a5595f3508ccf82058048a
https://doi.org/10.1002/zamm.19880680210
https://doi.org/10.1002/zamm.19880680210
Autor:
V. L. Bakke
Publikováno v:
Journal of Optimization Theory and Applications. 19:425-443
Behavior of boundary arcs for control systems is investigated when the systems are governed by integral equations of the Volterra type. The main result is in the form of a maximum principle. This result is then used to obtain necessary conditions for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c4f26f40bbd8eabd15da942ac5894e5
https://doi.org/10.1007/bf00941485
https://doi.org/10.1007/bf00941485
Autor:
V. L. Bakke, T Guinn
Publikováno v:
Journal of Mathematical Analysis and Applications. 64(3):592-601
The theory of optimal fields is developed for optimal control problems in which the state variables are determined by integral equations. The Hilbert integral is considered and the Hamilton-Jacobi equations are derived. The results obtained contain t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0fc98fecb5bf2bfd5ae5908b45b51cb9
Autor:
V. L. Bakke
Publikováno v:
Journal of Optimization Theory and Applications. 16:539-548
In this paper, an embedding theorem is established for a system of nonlinear integral equations of the Volterra type. The main result is basic in the development of a maximum principle for an optimal control problem in which the state variables are d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63670e1606201a74e82e547838fcf1f5
https://doi.org/10.1007/bf00933857
https://doi.org/10.1007/bf00933857
Autor:
Zdzislaw Jackiewicz, V. L. Bakke
Publikováno v:
Applications of Mathematics. 32:37-48
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f32cee3939639d50bf87ce0e8a015ea6
https://doi.org/10.21136/am.1987.104234
https://doi.org/10.21136/am.1987.104234
Autor:
V. L. Bakke
Publikováno v:
Journal of Optimization Theory and Applications. 33:69-84
The theory of optimal fields is developed for optimal control problems in which the state variables are solutions of integral equations with delayed arguments. The maximum principle obtained reflects the effects of the delay in the control argument.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe64e47db766602801892a2a99a43b5f
https://doi.org/10.1007/bf00935177
https://doi.org/10.1007/bf00935177
Autor:
Zdzislaw Jackiewicz, V. L. Bakke
Publikováno v:
Numerische Mathematik. 48:127-136
Stability analysis of product θ-methods for Abel integral equations of the second kind, based on the test equation $$y(t) = 1 - \lambda \int\limits_0^1 {\frac{{y(s)}}{{(t - s)^\alpha }}} ds,t \geqq 0,$$ 0 0 and we investigate whether this property i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e4c8bc557752dd9448a69d5cb89ee3b0
https://doi.org/10.1007/bf01389867
https://doi.org/10.1007/bf01389867
Autor:
V. L. Bakke
Publikováno v:
Journal of Optimization Theory and Applications. 13:32-55
In this paper, necessary corditions are obtained for an optimal control problem whose state variables are given in terms of integral equations. The conditions are obtained separately for Volterra equations and Fredholm equations. The main result for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5519daee7bffcb3106c70bafbf29c238
https://doi.org/10.1007/bf00935608
https://doi.org/10.1007/bf00935608