作者: curettage 時(shí)間: 2025-3-21 22:49
Differential-Difference Equations/Differential-DifferenzengleichungenApplications and Num作者: 替代品 時(shí)間: 2025-3-22 00:31
Approximation of the State of Infinite Delay and Volterra-Type Equations,her we describe in some detail how the general scheme that is presented can be used for approximation of the state by employing subspaces of linear spline functions. In a forthcoming paper we shall rely on these results in order to discuss identification and control problems associated with delay eq作者: Flatus 時(shí)間: 2025-3-22 08:09 作者: 過多 時(shí)間: 2025-3-22 12:36
A Numerical Procedure to Compute Many Solutions of Diffusion-Reaction Systems,ween Z. and Z. allows for diffusive and/or convective transport. We have shown that branches of stable steady states are possible involving alterations of substrate concentration in Z. and Z. only whereas Z.,…,Z. operate on a nearly constant concentration level along the branch. There are symmetric 作者: Employee 時(shí)間: 2025-3-22 14:20
,Anwachsende Schwingungen bei einigen Differenzengleichungen mit multiplikativem Verz?gerungsglied,ons is very different in the cases 0<α<1/2 and 1/2≤α<1. In the second case exists as solution y. for all n only y.=0, but there exist unboundedly increasing solutions for sufficiently large n. Numbers and graphs are given for some special values of a and the equation (above)is compared with the diff作者: Employee 時(shí)間: 2025-3-22 18:25 作者: 懸崖 時(shí)間: 2025-3-22 22:49
Estimating the Global Error of Runge-Kutta Approximations for Ordinary Differential Equations,ccuracy of the numerical result returned by the code. Even when the code reports an estimate of the global error, the question may remain whether this estimate is correct, i. e. whether the user can rely on the estimate. This paper proposes a simple idea of measuring the reliability of the global er作者: 帶來的感覺 時(shí)間: 2025-3-23 05:10
Characteristic Roots of Discretized Functional Differential Equations, determined by the characteristic roots of the discretized differential equation. In particular the so-called essential roots (the roots on or close to the unit circle) play an important r?le. If a functional differential equation is solved by means of a linear multistep method, then the number of c作者: 反感 時(shí)間: 2025-3-23 06:58 作者: Osteoarthritis 時(shí)間: 2025-3-23 12:01 作者: wall-stress 時(shí)間: 2025-3-23 16:40 作者: ULCER 時(shí)間: 2025-3-23 19:02
Approximation of the State of Infinite Delay and Volterra-Type Equations,s natural formulation as an abstract Cauchy problem in an infinite dimensional state space (compare (2.7) below), will be approximated by a sequence of differential equations in finite dimensional Euclidean spaces. There are several reasons for our interest in such approximation results. One of them作者: justify 時(shí)間: 2025-3-23 23:28
Faktorisierung Linearer Differenzengleichungen mit Anwendungen auf Matrizen,ets vollst?ndig in Operatoren der Ordnung 1 faktorisiert werden. Eine solche Zerlegung ist in den meisten F?llen weder eindeutig noch kommutativ. Bei der Behandlung von Randwertaufgaben mit Differenzengleichungen kann man sich h?ufig derartige Faktorisierungen zunutze machen. Es werden hier mehrere 作者: 慟哭 時(shí)間: 2025-3-24 05:24 作者: sacrum 時(shí)間: 2025-3-24 07:44
Characteristic Roots of Discretized Functional Differential Equations,haracteristic roots of the discretized equation is inversely proportional to the stepsize used. In this paper it is shown that only a fixed number of these roots are strictly inside the unit circle, and all the others are “essential”.作者: Mingle 時(shí)間: 2025-3-24 13:00
Maximum Principles for Periodic Solutions of Linear Delay Differential Equations,f a variable delay τ=τ(t) and, separately, that of a constant delay τ. The first one is more general, as well as the conditions which are found. On the contrary, for constant delays, optimal results are obtained.作者: Nausea 時(shí)間: 2025-3-24 18:16
A Numerical Procedure to Compute Many Solutions of Diffusion-Reaction Systems,s of substrate concentration in Z. and Z. only whereas Z.,…,Z. operate on a nearly constant concentration level along the branch. There are symmetric and unsymmetric steady states of this kind (see also section 2).作者: POINT 時(shí)間: 2025-3-24 23:01 作者: Lipoprotein(A) 時(shí)間: 2025-3-25 02:10 作者: 易改變 時(shí)間: 2025-3-25 03:44 作者: minimal 時(shí)間: 2025-3-25 10:59 作者: Pamphlet 時(shí)間: 2025-3-25 13:47
Estimating the Global Error of Runge-Kutta Approximations for Ordinary Differential Equations,ACM Algorithm 504) developed by Shampine and Watts. This code uses global Richardson extrapolation for the error estimation, which in many cases can also be applied to Runge-Kutta codes for delay equations.作者: BILIO 時(shí)間: 2025-3-25 16:28
https://doi.org/10.1007/978-90-481-9612-8f a variable delay τ=τ(t) and, separately, that of a constant delay τ. The first one is more general, as well as the conditions which are found. On the contrary, for constant delays, optimal results are obtained.作者: 逃避責(zé)任 時(shí)間: 2025-3-25 21:02 作者: florid 時(shí)間: 2025-3-26 03:13
The Language of Argumentation in Dutch for the wanted periodic solutions using approximation and optimization techniques. A numerical example is given. One can reduce the difference-differential equation in some cases to an ordinary differential equation.作者: 個(gè)阿姨勾引你 時(shí)間: 2025-3-26 06:11 作者: 植物學(xué) 時(shí)間: 2025-3-26 09:28 作者: 鍵琴 時(shí)間: 2025-3-26 15:20 作者: 顛簸下上 時(shí)間: 2025-3-26 20:30
0373-3149 Overview: 978-3-0348-6769-6978-3-0348-6767-2Series ISSN 0373-3149 Series E-ISSN 2296-6072 作者: 植物學(xué) 時(shí)間: 2025-3-27 00:12
Frans H. van Eemeren,Rob Grootendorstons is very different in the cases 0<α<1/2 and 1/2≤α<1. In the second case exists as solution y. for all n only y.=0, but there exist unboundedly increasing solutions for sufficiently large n. Numbers and graphs are given for some special values of a and the equation (above)is compared with the differential equation y′(x)=?cy(αx).作者: Estrogen 時(shí)間: 2025-3-27 02:17
https://doi.org/10.1007/978-1-4020-8500-0?, a >O. Such equations have found several applications in biology and economics. E.g. they concern the regulation of red blood cell populations [13], [17], excitatory-inhibitory neural interactions [2], [4], [5], regulation of enzyme synthesis [4], respiratory control circuits [12], and modeling of commodity cycles [1].作者: Ibd810 時(shí)間: 2025-3-27 08:49
Applications of Reaching Definition Analysisform dy(t)/dt = ω.y(t) + ω.y(t?ω) where ω., ω. and ω are constants (ω>0). By generalizing the conventional predictor-corrector methods it is possible to improve the stability region in the (ω.Δt, ω.Δt) — plane considerably. In particular, methods based on extrapolation-predictors and backward differentiation- correctors are studied.作者: 啜泣 時(shí)間: 2025-3-27 12:48
Troubleshooting: Qualification Problem,ets vollst?ndig in Operatoren der Ordnung 1 faktorisiert werden. Eine solche Zerlegung ist in den meisten F?llen weder eindeutig noch kommutativ. Bei der Behandlung von Randwertaufgaben mit Differenzengleichungen kann man sich h?ufig derartige Faktorisierungen zunutze machen. Es werden hier mehrere Typen von Randwerten behandelt.作者: 掃興 時(shí)間: 2025-3-27 15:52
https://doi.org/10.1057/978-1-137-60049-3ed via the inverse bilateral Laplace transform and the inverse unilateral Mellin transform, respectively. An application of Cauchy’s residue theorem allows to determine the asymptotic behaviour of these splines as their degrees tend to infinity.作者: 澄清 時(shí)間: 2025-3-27 20:59
https://doi.org/10.1007/978-90-481-9612-8Consider the retarded initial value problem.where the retardation τ may be constant, variable: τ = τ(x), or state dependent: τ = τ(x,y(x)), and τ ≥ o. If f, ψ and τ are continuous then according to DRIVER [2] there exists a solution of problem (1) in some interval [x.,b].作者: 大炮 時(shí)間: 2025-3-28 01:08
Applications of Reaching Definition AnalysisThis paper gives — up to the numerical results — a condensed excerpt of reference [1].作者: 竊喜 時(shí)間: 2025-3-28 04:17
https://doi.org/10.1007/1-4020-3069-XThis paper is concerned with a general diffusion model which is described by a system of linear differential equations. Under certain conditions the existence of positiv periodic solutions is shown, if the coefficients and the right-hand side of the system are periodic.作者: 勉勵(lì) 時(shí)間: 2025-3-28 10:15
The Influence of Interpolation on the Global Error in Retarded Differential Equations,Consider the retarded initial value problem.where the retardation τ may be constant, variable: τ = τ(x), or state dependent: τ = τ(x,y(x)), and τ ≥ o. If f, ψ and τ are continuous then according to DRIVER [2] there exists a solution of problem (1) in some interval [x.,b].作者: Halfhearted 時(shí)間: 2025-3-28 11:43
Automatic Delay-Control in a Two-Phase Stefan Problem,This paper gives — up to the numerical results — a condensed excerpt of reference [1].作者: 白楊 時(shí)間: 2025-3-28 14:50
,über die Existenz Positiver Periodischer L?sungen bei einem Allgemeinen Diffusionsmodell,This paper is concerned with a general diffusion model which is described by a system of linear differential equations. Under certain conditions the existence of positiv periodic solutions is shown, if the coefficients and the right-hand side of the system are periodic.作者: Musculoskeletal 時(shí)間: 2025-3-28 22:49
,Anwachsende Schwingungen bei einigen Differenzengleichungen mit multiplikativem Verz?gerungsglied,ons is very different in the cases 0<α<1/2 and 1/2≤α<1. In the second case exists as solution y. for all n only y.=0, but there exist unboundedly increasing solutions for sufficiently large n. Numbers and graphs are given for some special values of a and the equation (above)is compared with the differential equation y′(x)=?cy(αx).作者: 不可知論 時(shí)間: 2025-3-29 00:38 作者: glucagon 時(shí)間: 2025-3-29 05:06
Improved Absolute Stability of Predictor-Corrector Methods for Retarded Differential Equations,form dy(t)/dt = ω.y(t) + ω.y(t?ω) where ω., ω. and ω are constants (ω>0). By generalizing the conventional predictor-corrector methods it is possible to improve the stability region in the (ω.Δt, ω.Δt) — plane considerably. In particular, methods based on extrapolation-predictors and backward differentiation- correctors are studied.作者: 雪白 時(shí)間: 2025-3-29 07:14 作者: B-cell 時(shí)間: 2025-3-29 13:51 作者: 占卜者 時(shí)間: 2025-3-29 16:48 作者: 凝視 時(shí)間: 2025-3-29 23:04
978-3-0348-6769-6Springer Basel AG 1983作者: Obvious 時(shí)間: 2025-3-30 00:33
https://doi.org/10.1007/978-90-481-9612-8se operators are of “monotonie type”, that is isotonic if Lu≤lv implies u≤v and antitonic if Lu≤lv implies u≥v, are given. It is considered the case of a variable delay τ=τ(t) and, separately, that of a constant delay τ. The first one is more general, as well as the conditions which are found. On th作者: 相互影響 時(shí)間: 2025-3-30 07:24
A Procedural View of Critical Reasonablenessween Z. and Z. allows for diffusive and/or convective transport. We have shown that branches of stable steady states are possible involving alterations of substrate concentration in Z. and Z. only whereas Z.,…,Z. operate on a nearly constant concentration level along the branch. There are symmetric 作者: collateral 時(shí)間: 2025-3-30 12:09 作者: 使苦惱 時(shí)間: 2025-3-30 16:12
The Language of Argumentation in Dutchidered; maximum principles and monotonicity have been proved under certain conditions on a, b. With aid of these theorems one can calculate inclusions for the wanted periodic solutions using approximation and optimization techniques. A numerical example is given. One can reduce the difference-differ作者: tendinitis 時(shí)間: 2025-3-30 19:09
Frans H. van Eemeren,Peter Houtlosserccuracy of the numerical result returned by the code. Even when the code reports an estimate of the global error, the question may remain whether this estimate is correct, i. e. whether the user can rely on the estimate. This paper proposes a simple idea of measuring the reliability of the global er作者: 令人作嘔 時(shí)間: 2025-3-31 00:26 作者: Morbid 時(shí)間: 2025-3-31 02:49 作者: daredevil 時(shí)間: 2025-3-31 06:27
Applications of Reaching Definition Analysisopposite directions for a domain functional. — A difference scheme is called . if the equations relative to successive mesh sizes don’t contradict each other. Such coherent schemes give the exact solutions in very elementary problems. In general they yield especially good approximations. — Not only 作者: 諷刺 時(shí)間: 2025-3-31 10:48
Applications of Reaching Definition Analysisform dy(t)/dt = ω.y(t) + ω.y(t?ω) where ω., ω. and ω are constants (ω>0). By generalizing the conventional predictor-corrector methods it is possible to improve the stability region in the (ω.Δt, ω.Δt) — plane considerably. In particular, methods based on extrapolation-predictors and backward differ作者: Infantry 時(shí)間: 2025-3-31 15:59
Revisiting Some Classical Compiler Conceptss natural formulation as an abstract Cauchy problem in an infinite dimensional state space (compare (2.7) below), will be approximated by a sequence of differential equations in finite dimensional Euclidean spaces. There are several reasons for our interest in such approximation results. One of them
