henry edwards, david e penney elementary differential equations with boundary value problems 2003

Ngày tải lên: 12/06/2014, 16:16

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Ngày tải lên: 12/06/2014, 16:17

... prob- lems often are employed to find the dividing line between stable and unstable behavior. We will see them frequently in later chapters. EXERCISES 1. Of these three boundary value problems, one has ... Fourier Series and Integrals 117 1.12 Comments and References 124 Chapter Review 125 Miscellaneous Exercises 125 v 12 Chapter 0 Ordinary Differential Equations EXERCISES In Exercise...

Ngày tải lên: 17/02/2014, 14:20

... improvement over the order of weak convergence of the Eu- ler scheme. Therefore, to price a European call option, for example, the Euler scheme is often computationally more e cient than the Milstein ... scheme, since it has fewer terms and the same order of weak convergence. Furthermore, the numerical stability of the Milstein scheme can be worse than that of the Eu- ler scheme. This simple...

Ngày tải lên: 19/02/2014, 22:20

Ngày tải lên: 31/03/2014, 15:56

... suppose that 85 percent of people whose homes are in the city keep their residence from one year to the next; the remainder move to the suburbs. Likewise, while 92 percent of people whose homes are ... R 3 represents familiar three-dimensional Euclidean space, the set of all ordered triples with real entries. The solution set for the system (1.2.2) may be determined using elementary algeb...

Ngày tải lên: 11/06/2014, 07:16

... upper solutions. First-order differential equations with state-dependent deviated argu- ments have received a lot of attention in the last years. We can cite the recent articles [2–7] which deal ... upper solutions and not have the least (greatest) solution. This seems to be a peculiar feature of equa- tions with deviated arguments, see [1] for an example with a second-order equation....

Ngày tải lên: 20/06/2014, 20:20

... linear neutral differential equation with varia ble delays, several special cases of which have been studied in [2,17-19]. Some of the results, like Theorems A, B, and C, mainly dependent on the ... are considered, the results of this article are new and they extend and improve previously known results. Acknowledgements The author sincerely thanks the anonymous reviewers for their careful...

Ngày tải lên: 20/06/2014, 22:20

... phenomena, aerodynamics, fitting of experimental data, etc. (see [1,2]). For some recent development on the topic, (see [3-19] and references therein). 2 Preliminaries Let us recall some basic definitions ... com- pletes the proof. □ We need the following known fixed point theorem to prove the existence of solu- tions for the problem at hand. Theorem 3.1 ([22]) Let E be a Banach space. Assu...

Ngày tải lên: 20/06/2014, 22:20

... nonlinear inte- ger-order ordinary differential equations. Toidentifyafew,wereferthereaderto [2-13] and the references therein. Fractional differential equations arise in many engineering and scientific ... integer order differential equations wit h deviat ed arguments, we refer the reader to the refer- ences [39-45]. As far as we know, fractional order differential equations...

Ngày tải lên: 21/06/2014, 03:20