[PDF] Top 20 Existence Theorems of Periodic Solutions for Second Order Nonlinear Difference Equations

... 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 ... See full document

... Difference equations are widely found in mathematics itself and in its applications to combinatorial analysis, quantum physics, chemical reactions, and so ...difference equations and obtained many significant ... See full document

... Suppose that E is a real Banach space with norm ·. Let K be a cone in E. A nonlinear mapping A : 0, ∞ × K → E is said to be positive if A0, ∞ × K ⊆ K. It is said to be K- completely continuous if A is continuous ... See full document

... DOI: 10.4236/am.2018.911080 1226 Applied Mathematics was Henri Poincare that initiated the qualitative theory of differential equations. This qualitative approach was intended both to guide and bring to light the ... See full document

... Theorems on oscillatory and asymptotic behavior of second order nonlinear neutral difference equations.. We determine sufficient conditions under which every solution of ( ∗ ) is either.[r] ... See full document

... Thandapani, Oscillatory and nonoscillatory behavior of second order neutral delay difference equations, Math.. Thandapani, Oscillatory and nonoscillatory behavior of second order neutral[r] ... See full document

... the solutions to deterministic difference equations has been discussed in many ...the solutions to deterministic difference ...the solutions to stochastic difference equation was discussed in ... See full document

... SZMANDA, B., Oscillation Theorems for Nonlinear Second-order Difference Equations, J.. Li, Z.H., A Note on the Oscillatory Property for Nonlinear Difference Equations and Differentlal Eq[r] ... See full document

... on periodic solutions for ordinary differential equations is a very important branch in the differential equation ...the existence of periodic solutions for ... See full document

... differential equations are a basic tool to study processes that are subjected to abrupt changes in their ...of second-order differential equations with impulse have received considerable ... See full document

... the existence of periodic solutions in the presence of a weak singularity is much more recent and the number of references is considerably ...first existence result with a weak force condition ... See full document

... where c ∈ R . Therefore, the periodic functions w and σ with properties (.) and (.) exist and, moreover, are unique up to a constant term, the value of which has no influence on the validity of the condition ... See full document

... which generalizes recent work on multi-point and integral boundary value problems. Al- though it excellently generalizes and extends many results for nonlocal second-order prob- lems at resonance, it does ... See full document

... the existence of solutions for differential equations has been widely stud- ied by many scholars in the mathematical sense (see [–] and the references ...the existence and multiplicity of ... See full document

... the solutions of boundary value problems (1.1) with (1.2) for a second-order p-Laplacian difference equation ...the existence and multiple results are ... See full document

... and nonlinear Volterra integral equations of the second ...the second kind and the ordinary differential equation to integral equation we are going to solve the equation ...integral ... See full document

... Periodic solutions of di ff erence equations in Euclidean and Banach spaces have been con- sidered by many authors, see, for example, [1–3, 5–10, 12] and the references ...Mainly equations with ... See full document

... the existence of periodic solutions of nonlinear, second-order difference equations of the form y(t + 2) + by(t + 1) + cy(t) = f (y(t)), where c = 0 and f : R → R is ... See full document

... y = − ω 2 x + µf (x + λ, y). (2.9) Lemma 2.4. The curve (x(t), x(t)) ˙ is a solution of (2.9) if and only if (x(t) + λ, x(t), ˙ x(t)) ¨ is a solution of (2.4). Furthermore, if (x(t), x(t)) ˙ is a periodic (ho- ... See full document

... and presented oscillation criteria which improved the existing results for the equation. In [], the authors established some sufficient conditions for the oscillation of all solu- tions of equation (.) via comparison ... See full document