[PDF] Top 20 Positive periodic solutions for nonlinear difference equations via a continuation theorem

... Here we will invoke a continuation theorem of Mawhin for obtaining such solutions. More specifically, let X and Y be two Banach spaces and L : Dom L ⊂ X → Y is a linear mapping and N : X → Y a ... See full document

... Mawhin’s continuation theorem of coincidence degree theory, the authors of [1] established the four positive periodic solutions to ...almost periodic solutions for ... See full document

... continuous positive ω-periodic functions, m is a positive ...of periodic solutions for population models with periodic delays; and since at present, there are only a few papers ... See full document

... a continuation theorem based on coincidence degree theory, we establish some easily verifiable criteria for the existence of positive periodic solutions for neutral delay ... See full document

... For the second-order equation 1.1 , we have the following theorem which provides new information about the decreasing fast solutions obtained by Aprahamian et al. 1. Theorem 1.4. Adopt the hypotheses ... See full document

... 0, n ∈ Z, 1.5 has been studied. Other interesting contributions can be found in some recent papers 7–11 and in references contained therein. It is interesting to study second-order nonlinear difference ... See full document

... Positive periodic solutions of second-order difference equations have been studied by many authors, see ...the positive periodic solutions of the ... See full document

... the following vector version of Krasnosel’skii’s fixed point theorem [14]. In addition, there are many papers concerned with the existence and multiplicity of radial solutions of the elliptic ... See full document

... of nonlinear difference equations has been widely used to study discrete mod- els appearing in many fields such as computer science, economics, neural network, ecol- ogy, and cybernetics; see, for example, ... See full document

... where a, τ ∈ C(R, R) are ω -periodic functions with 0 ω a(t) dt = 0, f : R × [0, ∞) → R is continuous and ω -periodic with respect to t. By means of the fixed point theorem in cones, several new ... See full document

... of periodic solutions of ...three positive T -periodic solutions of ...point theorem ([15], see Theorem ...of periodic solutions when g(x) is not ... See full document

... of periodic solutions and solutions for nonlinear difference boundary value problems since the first result was established by using variational methods in  (see ...of solutions for ... See full document

... on periodic solutions for fourth- order differential equations (see [–] and the references cited ...Mawhin’s continuation theorem, Shan and Lu studied the existence of periodic ... See full document

... differential equations include many mathematical ecological and population models, such as the Lasota-Wazewska model [–], Nicholson’s blowflies model [, , – ], the model for blood cell production [, , , ... See full document

... the continuation theorem to the reference maps L + P and L + cI, where P denotes the orthog- onal projection onto the kernel of L, I denotes the identity operator, and –c is a positive regular value ... See full document

... For (u,v) in the boundary of Ω, (u, v) = r. For each such (u, v), we have shown by means of Observation 3.6, that MEF(u + v) < r, and, by means of Observation 3.9, that u − Q(I − E)F (u + MEF(u + v)) < r. Therefore ... See full document

... which implies that such a function F satisfies condition (F3) of Theorem 3.1 but does not satisfy the corresponding condition of Theorem 3.2 in [6] and the corresponding condition of Theorem 1.3 in ... See full document

... the periodic problem of equations with singularities has been studied widely because of their background in applied sciences (see [–] and the refer- ences ... See full document

... itive solutions of systems of (2n, 2m)th-order equations under assumption (H1); see [14– ...point theorem of cone com- pression and expansion [14, 15, 17], fixed point index arguments and upper and ... See full document

... of periodic functions are in the intersection of the classes of quasi- periodic functions and sums of semi-periodic ...of Theorem  that a sum of periodic functions is exactly the sum ... See full document