Báo cáo hóa học: " Research Article Existence of Pseudo Almost Automorphic Solutions for the Heat Equation with Sp -Pseudo Almost Automorphic Coefficients" docx

... the help of some fixed point theorems and the properties of the Green function, we establish several sets of sufficient conditions on the existence of positive solutions. The obtained results extend ... differential equations, we refer the readers to 3–7. Recently, many researchers have devoted their attention to studying the existence of positive solutions of...

Ngày tải lên: 21/06/2014, 05:20

... to discuss the existence and uniqueness of solutions to the problem 1.1. Let Ω be a Banach space of all continuous functions from 0,T → R with the norm u  sup t∈0,T {|ut|}. Theorem 3.1. ... Alsaedi, Existence of solutions for integrodifferential equations of fractional order with antiperiodic boundary conditions,” International Journal of Differential Equ...

Ngày tải lên: 21/06/2014, 05:20

... btained under the conditions in respect of Kuratowski’s measure of noncompactness. As an application of the abstract result, we show the existence of solutions for an integrodifferential equation. 1. ... Difference Equations Volume 2011, Article ID 963463, 15 pages doi:10.1155/2011/963463 Research Article Existence of Mild Solutions to Fractional Integrodiffere...

Ngày tải lên: 21/06/2014, 05:20

... containing the negative critical points and no other critical points, then d  J  , Σ 1 , 0   −1. 3.49 Boundary Value Problems 17 Now, we can give the proof of Theorem 1.3. Proof of Theorem 1.3. The ... independently mainly for two reasons. The first one is that the behavior of discrete systems is sometimes sharply different from the behavior of the corresponding co...

Ngày tải lên: 21/06/2014, 05:20

... fractional differential equations by the means of fixed points method. Maraaba et al. in 17, 18 have established the existence and uniqueness theorem for the delay differential equations with Caputo fractional ... studied the existence and uniqueness of the mild solution for a class of impulsive fractional differential equations with time-varying generating operators...

Ngày tải lên: 21/06/2014, 05:20

... will apply the cone fixed point theory, combining with the operator spectra theorem to establish the existence of positive solutions of BVP1.2.Our results generalize the main result in 16. Let ... cited. By using the Krasnoselskii’s fixed point theorem and operator spectral theorem, the existence of positive solutions for the nonlocal fourth-order boundary va...

Ngày tải lên: 21/06/2014, 07:20

... The proof is complete. Proof of Theorem 1.2. In the proof of Theorem 1.1, the condition that F 2 n, x ≥ 0for n, x ∈ J ×R, |x|≤1inF1, is only used in the the proofs of assumption ii of Lemma ... effective approach to the study of periodic solutions for difference equations. Along this direction, Ma and Guo 13 applied the critical point theory to prove the ex...

Ngày tải lên: 21/06/2014, 11:20

... Difference Equations 23 39 T. Diagana, Existence of pseudo- almost automorphic solutions to some abstract differential equations with S p -pseudo- almost automorphic coefficients,” Nonlinear Analysis: Theory, ... guarantee the existence of pseudo- almost automorphic mild solutions to 1.2. The concept of pseudo- almost automorphy is a powerful generalizat...

Ngày tải lên: 21/06/2014, 11:20

... <R},letdegΦ λ ,B R , 0 denote the degree of Φ λ on B R with respect to 0. Lemma 2.7. Let Λ ⊂ R  be a compact interval with λ 1 a 0 ,λ 1 a 0  ∩ Λ∅, then there exists a number δ 1 > 0 with the property Φ λ  u  /  ... for 0 <δ<  δ, all of the conditions of Theorem A are satisfied. So there exists a connected component C n of solutions of 2.30...

Ngày tải lên: 21/06/2014, 11:20

... study the existence of one-sign solutions of the nonlinear problem x   f  t, x  ,t∈  0,T  , x  0   x  T  ,x   0   x   T  . 1.18 The proofs of the main results are based on the ... ∈  R, mR M  . 3.57 Applying the knowledge of the sign of Green’s function when a ∈ Λ − and the similar argument to prove Theorem 3.2 with obvious changes, we...

Ngày tải lên: 21/06/2014, 11:20