solutions to systems of simultaneous linear differential equations with constant coefficients

Ngày tải lên: 22/03/2014, 11:20

Ngày tải lên: 22/06/2014, 22:20

Ngày tải lên: 14/03/2014, 13:20

Ngày tải lên: 22/06/2014, 19:20

Ngày tải lên: 23/06/2014, 00:20

... translates into Z L =(r a,b )G L . A proof of Lemma 1.29 finishes the proof of the theorem. ✷ Proof of lemma 1.29. The proof is rather similar to the one of lemma 1.23. The only thing that we have to verify ... O-submodules N 1 ,N 2 of N with N = N 1 ⊕N 2 and N i = F i for i =1, 2. Proof. The proof is similar to the proof of Proposition 3.17. Let S 1 and S 2 be the set of eigenvalues of E acting on F 1 and ... analytic sections of the book. Finally, Appendix D discusses systems of linear partial differential equations and the ex- tent to which the results of this book are known to generalize to this situation. Conspicuously...

Ngày tải lên: 31/03/2014, 15:56

... equations, differential equations, and differential equations with impulses. The study of abstract measure differential equations was initiated by Sharma [1] in 1970s. From then on, properties of ... existence of solutions are less conservative. An example is given to illustrate the effectiveness of our existence theorem of solutions. 1 Introduction Abstract measure differential equations are ... the existence of solutions for perturbed abstract measure functional differential equations. This is a problem of difficulty and challenge. Based on the Leray–Schauder alternative involving the sum of two...

Ngày tải lên: 18/06/2014, 22:20

... in the sense of Definition 1. Title Suppressed Due to Excessive Length 9 One might be tempted to follow the standard ideas with lower and upper solutions to define a lower solution of (1) as some ... definitions are not adequate to ensure the existence of solutions of (1) between given lower and upper solutions, as we show in the following example. Example 1 Consider the problem with delay x  (t) ... measurable and for a.a. t ∈ I 0 the operator τ(t, ·) is continuous in C(I) (equipped with it usual topology of uniform convergence). (H 2 ) − (c) The nonlinear operator Λ : C(I) −→ R is continuous. (H 3 )...

Ngày tải lên: 20/06/2014, 20:20

... for non -linear differential equations of fractional order. Nonlinear Anal 2011, 74:792-804. 34. Zhang L, Wang G: Existence of solutions for nonlinear fractional differential equations with impulses ... existence and multiplicity of solutions (or positive solutions) of three-point BVPs for nonlinear inte- ger-order ordinary differential equations. Toidentifyafew,wereferthereaderto [2-13] and the references ... On some nonlinear ordinary differential equations with advanced arguments. Nonlinear Anal 2003, 53:495-505. 40. Yan JR: Oscillation of first-order impulsive differential equations with advanced...

Ngày tải lên: 21/06/2014, 03:20

... Difference Equations Volume 2010, Article ID 691721, 10 pages doi:10.1155/2010/691721 Research Article Existence of Solutions for Nonlinear Fractional Integro -Differential Equations with Three-Point Nonlocal ... integration of arbitrary order is proved to be an important tool in the modelling of dynamical systems associated with phenomena such as fractal and chaos. In fact, this branch of calculus has ... several researchers with the sphere of study ranging from the theoretical aspects of existence and uniqueness of solutions to the analytic and numerical methods for finding solutions. For some recent...

Ngày tải lên: 21/06/2014, 16:20

... periodic solutions of nonlinear neutral functional differential equations, ” Nonlinear Analysis: Real World Applications, vol. 9, no. 3, pp. 977–984, 2008. 8 K. Wang and S. Lu, “On the existence of ... solutions of linear and quasilinear neutral functional-differential equations, ” Journal of Mathematical Analysis and Applications, vol. 189, no. 2, pp. 378–392, 1995. 11 Y. Zhu and S. Lu, “Periodic solutions ... Theory of Functional Differential Equations, Springer, New York, NY, USA, 1977. 15 P. Glendinning, Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations, ...

Ngày tải lên: 21/06/2014, 16:20

... olution yt,t∈ J with property 3.17. Proof. The proof is similar to that of Theorem 3. 2of 6. Theorem 3.5. Assume that H 1 , H 2 , 3.1 of H 3  and 3.14 and 3.15 of H 4  hold. In addition, ... olution yt,t∈ J with property 3.4. Proof. The proof is similar to that of Theorem 3. 1of 6. 14 Boundary Value Problems Proof. Let T be the cone preserving, completely continuous operator that was ... Differential Equations, vol. 14, World Scientific, Singapore, 1995. 6 J. Yan, “Existence of positive periodic solutions of impulsive functional differential equations with two parameters,” Journal of Mathematical...

Ngày tải lên: 21/06/2014, 16:20

Ngày tải lên: 21/06/2014, 17:20

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 22/06/2014, 02:20

Ngày tải lên: 22/06/2014, 18:20

Ngày tải lên: 22/06/2014, 22:20

Ngày tải lên: 22/07/2014, 06:20

Ngày tải lên: 11/03/2015, 07:57