[PDF] Top 20 Existence of Solutions for a Class of Damped Vibration Problems on Time Scales

... This paper is organized as follows. In Section 2, we present some fundamental definitions and results from the calculus on time-scales and Sobolev’s spaces on time-scales. In Section 3, we ... See full document

... on time scales, we obtain some sufficient conditions for the existence and exponential stability of periodic solutions for a class of Hamiltonian systems on time ...the time ... See full document

... the existence of variational construction for prob- lem () in an appropriate space of functions in this ...the existence and multiplicity of solutions for () by some critical point ... See full document

... the existence of many positive solutions for a class of second-order p-Laplacian boundary value problems with impulse on time ... See full document

... the existence of positive solutions to boundary value problems for differential equations on time scales; see, for example, 1– ...value problems on time scales to a ... See full document

... the existence, nonexistence, and multiplicity of positive solutions for a class of nonlinear boundary value problems of third-order differential equations with integral boundary conditions in ... See full document

... of time scales was initiated by the German mathematician Stefan Hilger ...of time scales are extension, unification, and ...on time scales calculus and dynamic equations on ... See full document

... value problems of ordinary differential equations (BVPs for short) arise in a variety of different areas of applied mathematics and ...Many problems in the theory of elastic stability can be handled by the ... See full document

... value problems for a class of vibration differential equation describing the fractional order damped system with signal ...the existence of solutions for boundary value ... See full document

... the existence of homoclinic solutions of ...first time the authors investigated the existence of fast homoclinic solutions for the following special case of ... See full document

... In [1, 2], and [3], the authors considered homoclinic solutions for the special Hamil- tonian system (1.3) in a weighted Sobolev space and obtained some results by using the mountain pass theorem in critical point ... See full document

... I established sufficient conditions ensuring that a fractional order differ- ential equation admits a nonnegative solution, whose slope at the end of times depends on its values on the whole time interval. To be ... See full document

... Remark If N = 1, 2, 3 and the nonlinearity f is 3-suplinear at infinity, Sun and Tang in [7] obtained a nontrivial solution for problem (1) by using the local linking theorem due to Li and Willem. In [8], when the ... See full document

... the existence of subharmonic weak solutions for a class of second-order impulsive Lagrangian systems with damped term under asymptotically quadratic ...new existence criteria are ... See full document

... the existence and mul- tiplicity of periodic and homoclinic solutions for HSs have extensively been investigated in many articles via variational methods, see ...the existence result on homoclinic ... See full document

... global existence of solutions for semilinear damped wave equations in R N with noncompactly supported initial data or in the energy space, in where the nonlinear term f(u) = |u| p or f(u) = 0 is too ... See full document

... positive solutions of BVPs on time ...on time scales, see [, , ...the existence of positive solutions for multipoint BVP on time scales when the nonlinear term ... See full document

... at time t, p is the maximum per capita daily egg production, 1/a is the size at which the population reproduces at its maximum rate, δ is the per capita daily adult death rate, and τ is the generation ... See full document

... the density of a population subject to spreading. If γ = , then we get the well-known Carrier equation. The fact that (.) appears in some applied mathematics attracts a lot of attention. With the aid of the ... See full document

... The focus of this research work is the derivation of a class of Adams-like collocation multistep methods of orders not exceeding p=9. Numerical quadrature rule is used to derive steps k= 3,...,8 of the Adams ... See full document