[PDF] Top 20 ON EXISTENCE OF PERIODIC SOLUTIONS OF THE KDV TYPE EQUATION

... Vries type equation with the external ...the periodic force becomes ...”inhomogeneous” KDV type equations in [1]- [4]. In that paper the equation is reduced to the system of ... See full document

... the periodic problem of second-order differential equations with singularities has been widely ...the existence of periodic solutions suggested by the two fundamental examples (α > 0, and h ... See full document

... the existence of nontrivial periodic solutions to problem ...for solutions, which is a crucial step in applying the topological degree ... See full document

... The same problem has been investigated for linear impulsive delay differential equa- tions [3,4]. The discrete analog of the above mentioned result has been recently stu- died in [5]. We suggest the reader to consult ... See full document

... In this section, we apply Lemmas .-. to study problem (.), and we obtain some new results on the existence and uniqueness of positive periodic solutions. The method used here is relatively new ... See full document

... the existence of pe- riodic solutions by using topological degree ...the existence of positive periodic solutions of ...repulsive type and attractive ... See full document

... The organization of this paper is as follows. In section 2, we introduce some notations and lemmas, and state some preliminary results needed in later section, then we give the Green’s function of (1.1), which plays an ... See full document

... the existence of a periodic solution for p-Laplacian neutral Rayleigh ...some existence results of periodic solutions to p-Laplacian neutral Rayleigh ... See full document

... time-periodic solutions, quasi-periodic solu- tions and traveling waves, ...the existence of time-periodic solutions [] and traveling waves [–] for the Boussinesq system ... See full document

... the existence of positive periodic solutions for equation ...the existence of positive periodic solutions for a delay Liénard equation with a strong singularity (μ ... See full document

... In what follows, we consider the third-order differential equation (1.2) and obtain some conditions for the existence of periodic solutions for it. These con- ditions are applicable to many ... See full document

... Theorem 1. For system (2.1), if conditions H1 and H 2 are valid then in the phase space in the region R = {(x, y) ∈ (a, ∞) ×(α , β )} there is a piecewise-smooth transversal closed curve which intersects the straight ... See full document

... The periodic solution theory of differential equation and difference equation has impor- tant academic value and application ...the periodic solutions of neutral difference equations are ... See full document

... In this paper, in section 2, we state the sufficient condition for the asymptotic stability of Equation (1). Next, in section 3, we study the existence of periodic solutions of Equation ... See full document

... and periodic solutions of difference ...or periodic solutions for abstract de- terministic linear difference equation with a constant or periodic operator coefficient and bounded or ... See full document

... continuous periodic one-parameter group of linear operators in a Banach ...the existence of periodic solutions of a linear differential equation of the nth order with constant coefficients ... See full document

... the solutions to the delay and nondelay prob- lems is the existence of periodic solutions for the delay problem where such solutions were impossible for the nondelay ...all ... See full document

... where f : [,T ] × [, ∞ ) × R → R and h : [, T ] → (, ∞ ) are continuous functions. Our study is motivated by current activity of many researchers in the area of theory and appli- cations of PVBPs; see, for example, ... See full document

... the existence of at least one periodic solution for the p-Laplacian-like system with a fixed ...differential equation, and they established some criteria to guarantee the existence of ... See full document

... Boussinesq equation is transformed to an ordinary differential equation with periodic boundary ...integral equation equivalent to the ordinary differential ...an existence theorem of ... See full document