báo cáo hóa học:" Homoclinic solutions of some second-order non-periodic discrete systems" doc

... is just the repetition of the proof of Lemma 3.2, we omit the details of its proof. With the aid of above preparations, now we will give the proof of Theorem 1.2. Proof of Theorem 1.2 By(1.8), ... similar to the proof of Lemma 3.1, so we omit the details of its proof. Lemma 3.4 Under the conditions of Theorem 1.2, F (x) satisfies the PS condition. Proof From the proof of Le...

Ngày tải lên: 20/06/2014, 04:20

... is just the repetition of the proof of Lemma 3.2, we omit the details of its proof. With the aid of above preparations, now we will give the proof of Theorem 1.2. Proof of Theorem 1.2 By(1.8), ... derivative of functional (3.1), we have ∂F (x) ∂x(n) = −∆ 2 x n−1 − A∆x n + L(n)x n − ∇W (n, x n ), n ∈ Z 12 Homoclinic solutions of some second-order non-periodic discret...

Ngày tải lên: 18/06/2014, 22:20

... is just the repetition of the proof of Lemma 3.2, we omit the details of its proof. With the aid of above preparations, now we will give the proof of Theorem 1.2. Proof of Theorem 1.2 By(1.8), ... similar to the proof of Lemma 3.1, so we omit the details of its proof. Lemma 3.4 Under the conditions of Theorem 1.2, F(x) satisfies the PS condition. Proof From the proof of Le...

Ngày tải lên: 20/06/2014, 21:20

... methods allow us to improve the previous results. 2. Proofs of the theorems We now give t h e proof of Theorem 1.1. Proof. Let X be the set of vector functions x(t)givenby(1.2) and described above. ... 0. (1.13) PERIODIC SOLUTIONS OF SECOND-ORDER NONAUTONOMOUS DYNAMICAL SYSTEMS MARTIN SCHECHTER Received 13 March 2006; Rev ised 10 May 2006; Accepted 15 May 2006 We study the existen...

Ngày tải lên: 22/06/2014, 22:20

... framework of the E3 project National Participation, funded by the General Secretariat of Research and Technology (GSRT) of the Greek Ministry of Development and evolved in the context of the ... in terms of QoS, and more specifically in terms of bitrate, and on user preferences, in terms of user satisfaction for the achieved QoS, given the service, the time and the locat...

Ngày tải lên: 21/06/2014, 17:20

... China Full list of author information is available at the end of the article Abstract Some new existence theorems for homoclinic solutions are obtained for a class of second-order discrete p-Laplacian ... restriction of f to the interval [-kT, kT -1], k Î N. Similar to [20], we will prove the existence of one homoclinic solution of (1.1) as the limit of the 2kT-perio...

Ngày tải lên: 20/06/2014, 22:20

... [6,8,9]. A complete classification of second-order operators which are self-adjoint with respect to some weight function is also given: among all the polynomial solutions of differential e quations, ... November 2011 Published: 28 November 2011 References 1. Routh, EJ: On some properties of certain solutions of a differential equation of second order. Proc Lond Math Soc. 1...

Ngày tải lên: 20/06/2014, 22:20

... of first-order partial differential equations, including questions such as estimates of solutions of initial problems, estimates of domains of solutions, estimates of the difference between solutions ... Journal of Inequalities and Applications 2011, 2011:15 http://www.journalofinequalitiesandapplications.com/content/2011/1/15 Page 3 of 20 functions of one variable, whi...

Ngày tải lên: 21/06/2014, 02:20

... 2011:2 http://www.advancesindifferenceequations.com/content/2011/1/2 Page 8 of 11 in f t∈ [ η,1 ] u(t ) ≥ γ ||u|| , where γ = min{βη, β(1 − η) 1 − βη , η } . Proof.Notethatu“ (t) ≤ 0, by applying the concavity of u,theproofiseasy.Sowe omit it. 3 Proofs of main ... 2011:2 http://www.advancesindifferenceequations.com/content/2011/1/2 Page 2 of 11 5. Webb JRL: Positive solutions of...

Ngày tải lên: 21/06/2014, 03:20

... and L´opez-G´omez [7], the proofs of these theorems contain gaps, the original statement of Theorem 1.40 of [4] is not correct, the original statement of Theorem 1.27 of [4] is stronger than what ... there exist some gaps in the proofs of Rabinowitz’s Theorems 1.27, 1.40, and 1.27 has been used several times in the literature to analyze the global behavior of the component of...

Ngày tải lên: 21/06/2014, 17:20