Báo cáo hóa học: " EXISTENCE RESULTS FOR SEMILINEAR PERTURBED FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONDENSELY DEFINED OPERATORS" docx

... y n+1 = B 1  y n  + B 2  y n  , y 0 = b. (4.3) EXISTENCE RESULTS FOR SEMILINEAR PERTURBED FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONDENSELY DEFINED OPERATORS M. BELMEKKI, M. BENCHOHRA, AND ... will establish sufficient conditions for the existence of integral solutions and extremal integral solutions for semilinear functional differential equations with n...

Ngày tải lên: 22/06/2014, 22:20

... nonlinear differential equations with delay. Nonlinear Anal. 74(12):3926–3933 (2011). doi:10.1016/j.na.2011.02.029 17. Raffoul, YN: Stability in neutral nonlinear differential equations with functional ... neutral differential equations with variable delays. Proc Am Math Soc. 136, 909–918 (2008) 19. Ardjouni, A, Djoudi, A: Fixed points and stability in linear neutral diff...

Ngày tải lên: 20/06/2014, 22:20

... Banach space with a direct sum decomposition X = X 1 ⊕ X 2 , with k = dimX 2 < ∞, let J be a C 1 function on X, satisfying (PS) condition. Assume that, for some r >0, J (u) ≤ 0for u ∈ X 1 ,  u  ≤ ... condition, Lemma 2.4 still holds. In the present paper, we give an existence theorem and a multiplicity theorem for problem (1.1). Our main results are the following two theo...

Ngày tải lên: 20/06/2014, 22:20

... prove the 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 ... Classics in Applied Mathematics, vol. 5, SIAM, Pennsylvania, 1990. [4] S. Heikkil ¨ a, Existence results for operator equations in partially ordered sets and applications,Non- l...

Ngày tải lên: 22/06/2014, 22:20

... Optimal 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 comparison results ... study has been continued in [5]fornth-order periodic boundary value problems, in [11] for antiperiodic dynamic equations, and in [ 1] for second-order dynamic equations wi...

Ngày tải lên: 22/06/2014, 22:20

... − 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 ... solutions (see [1–3, 10–12]). Also most of the results established to date are for the case when p = 2. Here we establish an existence result for p>1 for a class of nonline...

Ngày tải lên: 22/06/2014, 22:20

... Phragmén-Lindelöf ty pe theorems for equation (1.1) with nonlinear dissipative feed back terms o n t he b oundary. Our study is inspired by the results of [21]. For the proof of our results, we will use ... S: Qualitative Estimates for Partial Differential Equations, An Introduction. CRC Press, Roca Raton (1996) 7. Horgan, CO: Decay estimates for the biharmonic equation with...

Ngày tải lên: 21/06/2014, 00:20

... 3.1. Remark 3.3.IfH k (x)=x, then Equation 2 becomes difference equations with distrib- uted delays without impulses in vector form x(m +1)=Ax(m)+Bf (x(m)) + C ∞  k=1 μ k g (x(m − k)) , (24) which ... <l 0 <1. Case 1.If H im k (x 1 , x 2 )=x i for i = 1, 2 and k = 1, 2, , then Equation 25 becomes dif- ference equation with distributed delays without impulses. The parameters of...

Ngày tải lên: 21/06/2014, 03:20

... impulsive differential equations, ” Proceedings of the Edinburgh Mathematical Society. Series II, vol. 51, no. 2, pp. 509–527, 2008. 12 Y. Tian, W. Ge, and D. Yang, Existence results for second-order system with ... the existence of solutions for impulsive differential equations. On the other hand, in the last few years, some researchers have used variational methods to study th...

Ngày tải lên: 21/06/2014, 11:20

... 2011:43 http://www.advancesindifferenceequations.com/content/2011/1/43 Page 30 of 35 21. O’Regan, D: Existence results for nonlinear integral equations on the half line. In: Corduneanu C (ed.) Qualitative problems for differential equations and control theory. pp. ... L p i [ 0, T ] such that for any u Î (C[0, T]) n , |u i | 0 ≥ η i |f i ( t, u ( t )) | γ i + φ i ( t ) for |...

Ngày tải lên: 20/06/2014, 22:20