Báo cáo hóa học: "UNIQUENESS OF SOLUTIONS FOR FOURTH-ORDER NONLOCAL BOUNDARY VALUE PROBLEMS" pot

... uniqueness of solutions of 5-point nonlocal boundary value problems for (1.1) implies uniqueness of solutions for both 4-point and 3-point nonlocal boundary value problems. In addition to hypotheses ... established for “third-order” differen- tial equations, uniqueness of solutions of 4-point nonlocal boundary value problems is equivalent to uniqueness...

Ngày tải lên: 22/06/2014, 22:20

... solution methods for fully nonlinear boundary value problems,JournalofDifferential Equations 180 (2002), no. 1, 51–64. [5] L.H.Erbe,Existence of solutions to boundary value problems for second order ... 2.3.Furthermore,inananalogouswaytotheproofofTheorem 3.1, it fol l ows that the solution y(t)ofBVP(4.4)isasolutionofBVP(4.1). Consequently, the proof of Theorem 4.2 is complete...

Ngày tải lên: 22/06/2014, 21:20

... copyright notice below). For information about publishing your research in Boundary Value Problems go to http://www.boundaryvalueproblems.com/authors/instructions/ For information about other SpringerOpen ... many solutions for a differential inclusion problem in R N involving the p(x)-Laplacian. Nonlinear Anal. 71, 1116–1123 (2009) [17] Fan, XL, Han, XY: Existence and multiplicity...

Ngày tải lên: 21/06/2014, 17:20

... that Proposition 3.4 holds.  Theproofinthecaseofc ≥ α isthesameasintheproofof[5, Theorem 5.3], by n ow we have completed the proof of Theorem 1.1. 4. Proof of Theorem 1.3 In this section, we ... proof of Theorem 1.1,weobtainthat  J μ satisfies (PS) condition. Next, we just use the mountain pass theorem to prove Theorem 1.3. EXISTENCE OF SOLUTIONS FOR A NONLINEAR ELLIPTIC DIRICHLE...

Ngày tải lên: 22/06/2014, 22:20

... series  ∞ n=1 f n converges for at least one point of I and that the s eries of derivatives  ∞ n=1 f  n converges uniformly on I. Then there exists a real-valued function f on I such that  ∞ n=1 f n converges uniformly ... ᏾ 1 (I,M,M  )isaconvexcompactsubsetofC 1 (I,R). The routine proof that ᏾ 1 (I,M,M  )isaclosedconvexsubsetofC 1 (I,R)isomitted. For φ ∈᏾ 1 (I,M,M  ), φ c 1...

Ngày tải lên: 23/06/2014, 00:20

... linear. The basis of the proof of this far-reaching theorem (found in [13]) is the following. With no eigen- value of 1, x − F(x)andx − A(x) are of the same homotopy class and therefore have the same ... the only solution of (2.15), (1.2) is trivial and t herefore A does not have 1 for an eigenvalue. In the event that m = 0 and using the definition of the operator and properti...

Ngày tải lên: 22/06/2014, 22:20

... inf n → ∞ J λ (u n )=α λ , Hsu Boundary Value Problems 2011, 2011:37 http://www.boundaryvalueproblems.com/content/2011/1/37 Page 8 of 15 RESEARC H Open Access Multiple positive solutions for a class of quasi- linear ... a solution of (1.1) if J  λ (u), v = 0 for all v ∈ D 1,p 0 ( ) and a solution of (1.1) is a critical point of J l . Hsu Boundary Value Problems 201...

Ngày tải lên: 20/06/2014, 22:20

... (2.1). The proof of the uniqueness of solution i s based on the work of [10]. Suppose that u and v are two dif- ferent solutions of problem (2.1), then the function Li and Zhou Boundary Value Problems ... uniqueness of nonnegative solutions of quasilinear equations in R n . Adv Math. 118, 177–243 (1996). doi:10.1006/aima.1996.0021 11. Ma, R, An, Y: Uniqueness of positive...

Ngày tải lên: 20/06/2014, 22:20

... Shieh: Uniqueness of the potential function for the vectorial Sturm-Liouville equation on a finite interval. Boundary Value Problems 2011 2011:40. Chang and Shieh Boundary Value Problems 2011, ... ϕ  m (π,λ)+Hϕ m (π,λ)). □ Chang and Shieh Boundary Value Problems 2011, 2011:40 http://www.boundaryvalueproblems.com/content/2011/1/40 Page 3 of 8 for k=1, 2, , m. This implies....

Ngày tải lên: 20/06/2014, 22:20