solutions to first order partial differential equations

Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx

Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx

... existence of solutions to first -order ordinary differential equations with deviated arguments Delay differential equations are included in our general framework, which even allows deviations to depend ... Boundary Value Problems manuscript No (will be inserted by the editor) Minimal and maximal solutions to first -order differential equations with state-dependent deviated arguments Rub´n Figueroa∗ ... least solution (or maximal and greatest solutions) , unfortunately often identified in the literature on lower and upper solutions First- order differential equations with state-dependent deviated...

Ngày tải lên: 20/06/2014, 20:20

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báo cáo hóa học:" Research Article Existence of Pseudo-Almost Automorphic Mild Solutions to Some Nonautonomous Partial Evolution Equations" pptx

báo cáo hóa học:" Research Article Existence of Pseudo-Almost Automorphic Mild Solutions to Some Nonautonomous Partial Evolution Equations" pptx

... “Almost automorphic mild solutions to some classes of nonautonomous higher -order differential equations, ” Semigroup Forum In press J A Goldstein and G M N’Gu´ r´ kata, “Almost automorphic solutions ... pp 2731–2735, 2009 13 T Diagana, “Pseudo-almost automorphic solutions to some classes of nonautonomous partial evolution equations, ” Differential Equations & Applications, vol 1, no 4, pp 561–582, ... pseudo-almost automorphic solutions to abstract partial evolution equations has been made; see for instance 10, 11, 13 However, the use of Krasnoselskii fixed point principle to establish the...

Ngày tải lên: 21/06/2014, 11:20

23 244 0
báo cáo hóa học: " Weak solutions of functional differential inequalities with first-order partial derivatives" ppt

báo cáo hóa học: " Weak solutions of functional differential inequalities with first-order partial derivatives" ppt

... for first order partial differential functional equations Nonlinear Anal TMA 14, 837–850 (1990) doi:10.1016/0362-546X(90)90024-B 14 Topolski, K: On the uniqueness of viscosity solutions for first ... Comparison theorems for infinite systems of differential functional equations and strongly coupled infinite systems of first order partial differential equations Rocky Mt J Math 10, 237–246 (1980) ... viscosity solutions for first order partial differential functional equations Ann Plon Math 59, 65–75 (1994) 15 Topolski, K: Classical methods for viscosity solutions of differential- functional inequalities...

Ngày tải lên: 21/06/2014, 02:20

20 266 0
Tài liệu AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS ppt

Tài liệu AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS ppt

... blank AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, ... according to the order of the equation The order is defined to be the order of the highest derivative in the equation If the highest derivative is of order k, then the equation is said to be of order ... Classification 1.3 Differential operators and the superposition principle 1.4 Differential equations as mathematical models 1.5 Associated conditions 1.6 Simple examples 1.7 Exercises First- order equations...

Ngày tải lên: 16/02/2014, 15:20

385 510 2
introduction to partial differential equations - a computational approach - a. tveito, r. winther

introduction to partial differential equations - a computational approach - a. tveito, r. winther

... is to introduce nonlinear partial differential equations In particular, we want to illustrate how easily finite difference methods adopt to such problems, even if these equations may be hard to ... differential equations into partial differential equations (PDEs) and ordinary differential equations (ODEs) PDEs involve partial derivatives, whereas ODEs only involve derivatives with respect to one ... equations, (d) is second order, and (e) is fourth order So the order of an equation refers to the highest order derivative involved in the equation Typical partial differential equations are given...

Ngày tải lên: 31/03/2014, 15:56

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báo cáo hóa học:" Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case" pot

báo cáo hóa học:" Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case" pot

... for solutions to 1.2 The idea used in this paper is similar to that of Olver to obtain error bounds to the Liouville-Green WKB asymptotic expansion of solutions to second -order differential equations ... this paper, we would like to give an example to show how to use the results of this paper to obtain error bounds of asymptotic solutons to second -order linear difference equations Here the difference ... asymptotic solutions to 1.2 is still open The purpose of this and the next paper Error bounds for asymptotic solutions of second -order linear difference equations II: the second case is to estimate...

Ngày tải lên: 21/06/2014, 11:20

19 377 0
Partial Differential Equations part 1

Partial Differential Equations part 1

... users to make one paper copy for their own personal use Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited To order ... users to make one paper copy for their own personal use Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited To order ... hyperbolic problems get parabolic pieces mixed into them by the time one is discussing practical computational schemes 830 Chapter 19 Partial Differential Equations xj = x0 + j∆, j = 0, 1, , J yl =...

Ngày tải lên: 28/10/2013, 22:15

8 395 0
Partial Differential Equations part 2

Partial Differential Equations part 2

... [2-3] Second -Order Accuracy in Time When using a method that is first -order accurate in time but second -order accurate in space, one generally has to take v∆t significantly smaller than ∆x to achieve ... America only),or send email to trade@cup.cam.ac.uk (outside North America) t or n 846 Chapter 19 Partial Differential Equations Fluid Dynamics with Shocks As we alluded to earlier, the treatment ... call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America) where 836 Chapter 19 Partial Differential Equations FTCS t or n Figure 19.1.1 Representation...

Ngày tải lên: 07/11/2013, 19:15

14 434 0
Tài liệu Partial Differential Equations part 3 pptx

Tài liệu Partial Differential Equations part 3 pptx

... is second -order accurate in time Toward the end of an evolution calculation, however, one might want to switch over to some steps of the other kind, to drive the small-scale stuff into equilibrium ... (19.2.19) write 852 Chapter 19 Partial Differential Equations conditions that ψ → at x → ±∞ Suppose we content ourselves with firstorder accuracy in time, but want to use an implicit scheme, for ... 848 Chapter 19 Partial Differential Equations The physical interpretation of the restriction (19.2.6) is that the maximum allowed timestep is, up to a numerical factor, the diffusion time...

Ngày tải lên: 15/12/2013, 04:15

7 355 0
Tài liệu Partial Differential Equations part 4 ppt

Tài liệu Partial Differential Equations part 4 ppt

... the order of the underlying PDEs, perhaps allowing second -order spatial differencing for first -order- in-space PDEs When you increase the order of a differencing method to greater than the order ... send email to trade@cup.cam.ac.uk (outside North America) are using is known to be extremely stable, we not recommend anything higher than second -order in time (for sets of first -order equations) ... 854 Chapter 19 Partial Differential Equations Lax Method for a Flux-Conservative Equation As an example, we show how to generalize the Lax method (19.1.15) to two dimensions for the...

Ngày tải lên: 15/12/2013, 04:15

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