Báo cáo hóa học: "EXISTENCE RESULTS FOR CLASSES OF p-LAPLACIAN SEMIPOSITONE EQUATIONS" docx

... c]withh(u) = f (u) − c of the form h(u) u has been studied for the case when p = 2in[6]. For p = 2 this remains a challenging semipositone problem for existence of positive solutions for large λ. We ... shivaji@ra.msstate.edu EXISTENCE RESULTS FOR CLASSES OF p-LAPLACIAN SEMIPOSITONE EQUATIONS SHOBHA ORUGANTI AND R. SHIVAJI Received 22 September 2005; Accepted 10 Nov...

Ngày tải lên: 22/06/2014, 22:20

... [a,b], then the sequence of Q-iteration of a converges to the least fixed point x ∗ of Q and the sequence of Q-iteration of b converges to the greatest fixed point x ∗ of Q.Moreover, x ∗ = min  y ... (ii) S  (t)iscompactfort>0 (so S  (t)iscontinuousintheuniformoperatortopology for t>0). Let 0 <t ≤ T be fixed and let  be a real number satisfying 0 <  <t.Fory ∈ B...

Ngày tải lên: 22/06/2014, 22:20

... u)dx . Proof of Theorem 2.1 By (F 0 ), we know that f(x, 0) = 0, an d hence u( x)=0isa solution of (1.1). To complete the proof we prove the following lemmas. Lemma 3.1 Any bounded (PS) sequence of ... Positive solutions for a quasilinear elliptic equation of Kirchhoff type. Comput Math Appl. 49(1), 85–93 (2005). doi:10.1016/j.camwa.2005.01.008 3. Ma, TF, Rivera, JEM: Positive solut...

Ngày tải lên: 20/06/2014, 22:20

... existence of solutions of (3.1), the existence of extremal solutions of (3.1), and the monotone dependence of these extremal solutions. 3.1. An existence result for (3.1). The existence of solutions of ... solution of (3.1). The existence of the least solution of (3.1) can be proved in a similar way. This com- pletes the proof of Lemma 3.3.  3.3. Monotonicity of the...

Ngày tải lên: 22/06/2014, 22:20

... following three results for problem (2.1)–(2.3). Lemma 2.1. If u is a solution of (2.1)–(2.3), then u ∈ [α,β]. Proof. We will only see that α(t) ≤ u(t)foreveryt ∈ T. The case u(t) ≤ β(t)forallt ∈ T follows ... existence results for nth order periodic boundary value difference equations, Journal of Mathematical Analysis and Applications 247 (2000), no. 1, 67– 86. [8] , Existence and...

Ngày tải lên: 22/06/2014, 22:20

... Zhao 1,2 Correspondence: Tc_zhaodianli@139.com 1 College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China Full list of author information is available at the end of the article Abstract The ... < ε for all t ≥ s, and the zero solution of (8) is stable. Thus, the zero solution of (8) is asymptotically stable, and hence the zero solution...

Ngày tải lên: 20/06/2014, 22:20

... m ≥ m 0 . There- fore, we have u( m ) ≤ ze −λ(m−m 0 ) , m ≥ m 0 , and the proof is completed. 3 Main results To obtain the global exponential stability of the zero solution of system (2), we ... Journal of Inequalities and Applications 2011, 2011:8 http://www.journalofinequalitiesandapplications.com/content/2011/1/8 Page 8 of 9 3. Liz, E, Ferreiro, JB: A note on the global stability...

Ngày tải lên: 21/06/2014, 03:20

... ∈ B for each t Î [0, k]. Then, (1.2) has a constant-sign solution u*Î (BC[0, ∞)) n such that for 1 ≤ i ≤ n, u ∗ i (t ) ∈ ¯ B for all t Î [0, ∞). Proof Using a similar technique as in the proof of ... will model after the proof of Theorem 5.2, and will employ similar arguments as in the proof of Theorems 3.3-3.5. As such, we shall present the results and omit the proof. Theorem 5...

Ngày tải lên: 20/06/2014, 22:20

... basic formulas for p-adic q-Bernoulli, p-adic q-Euler numbers and polynomials which will be used to prove the main results of this article. Let UD(Z p , C p ) denote the space of all uniformly ... C p denote the ring of p-adic integers, the field of p-adic numbers, and the completion of the algebraic closure of Q p , respectively. Let | · | p be the p-adic norm on Q with |p| p...

Ngày tải lên: 20/06/2014, 04:20

... measurable subset of R n and let Σ(G) be the collection of all Lebesgue measurable subsets of G.IfF ∈ Σ(G), denote by |F| the Lebesgue measure of F and by Ᏸ(F) the class of restrictions to F of functions ... obtain uniqueness results for a Dirichlet problem of type (D) under hypotheses weaker than those of [8]onthea ij ’s, and with p>1. More precisely, if there exist ex...

Ngày tải lên: 22/06/2014, 22:20