epub, pdf |eng | | Author:Themistocles M. Rassias

28. C. Park, Fixed points and Hyers-Ulam-Rassias stability of Cauchy-Jensen functional equations in Banach algebras. Fixed Point Theory Appl. 2007, Article ID 50175 (2007)MathSciNetCrossref 29. C. Park, Generalized Hyers-Ulam-Rassias stability ...

epub |eng | | Author:Matthias Hieber & James C. Robinson & Yoshihiro Shibata

Since we have since the intervals (t i − r∕3, t i) are disjoint we have and the result follows. □ 2.3 Serrin’s Local Regularity Result for u ∈ L ...

epub |eng | | Author:Sören Bartels

4. Chen, X.: Spectrum for the Allen-Cahn, Cahn-Hilliard, and phase-field equations for generic interfaces. Commun. Partial Differ Equ 19(7–8), 1371–1395 (1994). http://​dx.​doi.​org/​10.​1080/​0360530940882105​7 5. Deckelnick, K., Dziuk, G., Elliott, C.M.: Computation ...

epub, pdf |eng | | Author:David Borthwick

Boundary conditions for which (7.24) holds are called self-adjoint boundary conditions (for the Laplacian). Formally, (7.24) resembles the matrix condition (7.23), but of course there is no analog of boundary ...

epub, pdf |eng | | Author:Thomas Witelski & Mark Bowen

(ii)The leading order coefficient is finite, as (i.e. we are looking for regular solutions; we tackle singular solutions later). Substituting the leading order term into (6.13) yields (6.19) In order ...

epub, pdf |eng | | Author:J. David Logan

that forms a basis for the expansion. The answer is: from a differential eigenvalue problem. We fully discuss this eigenvalue problem in Chapter 4. But for the present, we focus ...

epub, pdf |eng | | Author:Achim Klenke

epub, pdf |eng | | Author:William A. Adkins & Mark G. Davidson

epub |eng | | Author:David Colton & Rainer Kress

Integrating this identity over the domain and interchanging differentiation and integration, the Gauss integral theorem yields (6.6) Since on we have straightforward calculations show that (6.7) Passing to the limit, ...

epub |eng | | Author:Makiko Nisio

[Y80] K. Yosida, Functional Analysis, 6th edn. (Springer, Berlin/New York, 1980)CrossRefMATH [YZ99] J. Yong, X.Y. Zhou, Stochastic Controls, Hamiltonian Systems and HJB Equations (Springer, New York, 1999)MATH © Springer Japan ...

epub |eng | 2014-05-27 | Author:Greenberg, Michael D.;

From Fig. 7b we see that resonance occurs when Ω equals either of the two natural frequencies 1 and . Note that there is a forcing function F sin Ωt ...

epub |eng | | Author:Ravi P. Agarwal & Simona Hodis & Donal O’Regan

6.27 The motion of a moon moving in a planar orbit about a planet is governed by the equations where is the gravitational constant, and M is the mass of ...

epub |eng | | Author:Wolfram Koepf

2.Set . 3.Set with undetermined variables depending on , but not depending on . 4.Apply the adaptation of Gosper’s algorithm described to : In the last step, solve the linear ...

epub, pdf |eng | 2015-03-14 | Author:Farris, Frank A.

Figure 16.2. A function invariant under cm, turned sideways, with colors from a late summer day in the University of Minnesota arboretum. By now, we expect to see repetitions of ...

epub |eng | | Author:G. Hariharan