báo cáo hóa học: " Weak solutions of functional differential inequalities with first-order partial derivatives" ppt

... 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 ... 35R45. Keywords: Functional differential inequalities, Haar pyramid, Comparison the orems, Weak solutions of initial problems 1 Introduction Two types of r...

Ngày tải lên: 21/06/2014, 02:20

... 2 Positive solutions of difference equations Recently, the existence of positive solutions of finite difference equations with different boundary value conditions is ... (1.13) POSITIVE SOLUTIONS OF FUNCTIONAL DIFFERENCE EQUATIONS WITH p-LAPLACIAN OPERATOR CHANG-XIU SONG Received 18 October 2005; Accepted 10 January 2006 The author studies the boundary value problems with .....

Ngày tải lên: 22/06/2014, 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...

Ngày tải lên: 20/06/2014, 04:20

... orthogonality of eigen- functions of different degrees. Now, from the differential equation, determining the leading three coefficients of every P n and using Equation 2.4 leads to the determination of ... 2011:58 http://www.advancesindifferenceequations.com/content/2011/1/58 Page 3 of 12 RESEARCH Open Access Polynomial solutions of differential equations H Azad * , A Laradj...

Ngày tải lên: 20/06/2014, 22:20

... 2011:22 http://www.journalofinequalitiesandapplications.com/content/2011/1/22 Page 6 of 6 which yields f ( x − p ) ≤ f ( x ) + δ + ε. The last inequality together with (2.5) finishes the proof of (v). □ Proof of Theorem ... M . Przebieracz Journal of Inequalities and Applications 2011, 2011:22 http://www.journalofinequalitiesandapplications.com/content/2011/1/22 Page 4 of 6 RESE...

Ngày tải lên: 21/06/2014, 01:20

... systems of nonlinear integro -differential equations with deviating arguments. J Comput Appl Math 2010, 234:1356-1363. 46. Balachandran K, Park JY, Julie MD: On local attractivity of solutions of a functional ... 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.Not...

Ngày tải lên: 21/06/2014, 03:20

... → (λ i , θ) with (µ j , u j ) ∈ C k ∩ (R × S ν k ). This contradicts to Lemma 2.3. 3 Proof of main results Proof of Theorems 1.1 and 1.2. We only prove Theorem 1.1 since the proof of Theorem 1.2 ... 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 s...

Ngày tải lên: 21/06/2014, 17:20

... role in the theory of functional equations. Some information on the applications of (1.1)and(1.2) in the determination of substructures of algebraical struc- tures, in the theory of geometric objects ... 4] and [14,Chapter5]. 4 Approximate solutions of the Goła¸b-Schinzel equation Note that in view of (2.1)and(2.13), for every x, y ∈ X, the right-hand side of the last equa...

Ngày tải lên: 22/06/2014, 22:20

... periodic solutions of semilinear Duffing equations,JournalofDiffer ential Equations 105 (1993), no. 2, 364–409. [5] C. Fabry and D. Fayyad, Periodic solutions of second order differential equations with ... Mawhin, Periodic solutions for nonlinear sy stems with p-Laplacian-like operators,JournalofDifferential Equations 145 (1998), no. 2, 367–393. [9] J.MawhinandJ.R.WardJr.,Periodic...

Ngày tải lên: 22/06/2014, 22:20

... 1,weobtainobvi- ously again a τ-periodic solution x 0 (· )of( 1.1)withx 0 (0) ∈ Ᏸ \ intA and, in the case of uniqueness, three τ-per iodic solutions of (1.1). PERIODIC SOLUTIONS OF DISSIPATIVE SYSTEMS REVISITED JAN ... Proceedings of the National Academy of Sciences of the United States of America 53 (1965), 1262–1264. [23] N. Levinson, Transformation theory of non-linear...

Ngày tải lên: 22/06/2014, 22:20