Báo cáo hóa học: " Infinitely many periodic solutions for some second-order differential systems with p(t)Laplacian" potx

... article, we investigate the existence of infinitely many periodic solutions for some nonautonomous second-order differential systems with p (t )-Laplacian. Some multiplicity results are obtained ... 2011:33 http://www.boundaryvalueproblems.com/content/2011/1/33 Page 10 of 15 RESEARC H Open Access Infinitely many periodic solutions for some second-order dif...

Ngày tải lên: 20/06/2014, 22:20

... solutions for the one-dimensional p-Laplacian,” Proceedings of the American Mathematical Society, vol. 125, no. 8, pp. 2275–2283, 1997. 4 D. Ji and W. Ge, “Multiple positive solutions for some ... The existence of positive solutions for two above cases received wide attention see 3–10. For example, Ji and Ge 4 studied the multiplicity of positive solutions for the...

Ngày tải lên: 21/06/2014, 05:20

... In 10, Ehme et al. gave some sufficient conditions for the existence of a solution of u  iv   t   f  t, u  t  ,u   t  ,u   t  ,u   t   1.5 with some quite general nonlinear ... positive solutions for differential equation boundary value problems, see 3, 6. With this fixed point theorem, Bai and Wang 6 discussed the existence, uniqueness, multiplicity, an...

Ngày tải lên: 21/06/2014, 20:20

... interior. Remark 1.2 In [4], they showed infinitely many solutions for p-Laplace equation with Dirichlet boundary value, while we get infinitely many sign-changing solutions under similar conditions. Remark ... obtained the existenc e for sign-changing solutions in a asymptotically case. Remark 1.4 In [1, §5.3], they also obtained infinitely many sign-changing solutio...

Ngày tải lên: 20/06/2014, 22:20

... R 2 for some C>0 and b Î (0, 1/2). We obtain infinitely many solutions having specified nodal properties by the bifurcation techniques. MSC(2000). 34B15, 58E05, 47J10 Keywords: Nodal solutions, ... is nondecreasing. Lemma 3.4 Let u be a solution of (3.2) with 0 ≤ l ≤ R and |u’| 0 ≥ ζ 2 (R)forsomeR >0. Then, for any x Î [0, 1] with |u(x)| ≤ R, we have |u’(x)| ≥ R 2 . Pro...

Ngày tải lên: 21/06/2014, 01:20

... have |ω(t)|≤M 3 L  t a |ω(s)|d s for t ≤ t 0 . It now follows from Gron- wall’s inequality that ω ≡ 0fora <t ≤ t 0 , consequently u’ ≡ v’ for t ≤ t 0 . We find u(t) ≡ v(t) for all t Î (a,t 0 ]. With the initial ... symmetric positive solutions for -Δ u+u=u p in an annulus. J Diff Equ. 245, 1198–1209 (2008). doi:10.1016/j.jde.2008.06.006 6. Korman, P: Uniqueness and exact multi...

Ngày tải lên: 20/06/2014, 22:20

... positive solutions for a class of p-Laplacian fourth-order differential equations w ith integral boundary conditions. By using Mawhin’ s continuat ion theorem, some sufficient conditions for the ... of solution for a class of second-order differential equations with integral boundary con- ditions at resonance are established in [8]. Feng et al. [9] considered the boundary va...

Ngày tải lên: 21/06/2014, 00:20

... pp. 2807–2813, 2010. 9 Y. Wang and W. Ge, Periodic solutions for Duffing equations with a p-Laplacian-like operator,” Computers & Mathematics with Applications, vol. 52, no. 6-7, pp. 1079–1088, ... most general forced form of the Duffing-type equation is u   t   σu   t   f  t, u  t   p  t  . 1.3 Recently, many authors have studied the existence of periodic so...

Ngày tải lên: 21/06/2014, 05:20

... local minima for Φ −λΨ such that Ψu 1  ≥ 0andΨu 2  ≥ 0. Owing to Lemmas 2.5 and 2.6, they are two positive solutions for P f λ  so tu 1 k 1 − tu 2 k ≥ 0, for all k ∈ 1,N and for all t ... Computers & Mathematics with Applications, vol. 56, no. 4, pp. 959–964, 2008. 14 Y. Tian and W. Ge, “The existence of solutions for a second-order discrete Neumann problem...

Ngày tải lên: 21/06/2014, 07:20

... lower solutions method together with maximal principle, we establish a necessary and sufficient condition for the existence of pseudo-C 3 0, 1 as well as C 2 0, 1 positive solutions for fourth-order ... 862079, 23 pages doi:10.1155/2010/862079 Research Article Positive Solutions for Fourth-Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions...

Ngày tải lên: 21/06/2014, 11:20