[PDF] Top 20 Asymptotic behavior of solutions of nonlinear models from erythropoiesis

... of erythropoiesis has been modeled in many physiological ...about erythropoiesis and the differentiation of the hematopoietic stem cells, we refer the reader to [–] and references ... See full document

... To the best of our knowledge, there are only a few works about parabolic equations with variable exponents of nonlinearity. In [], Chen, Levine and Rao obtained the exis- tence and uniqueness of weak solutions ... See full document

... resolvent family (Theorem 3.9). It should be noted that we give an explicit form of the family involving the well-known Poisson distribution in the spirit of the work [26]. This is necessary in order to establish ... See full document

... Discrete models are more suitable for understanding the problems in Economics, genetics, population dy- namics ...equations asymptotic behavior of solutions plays a vital ... See full document

... Brenner and von Wahl 20 proved the existence and uniqueness of classical solutions to the initial boundary problem for 1.1 in Hilbert space. Pecher 21 investigated the existence and uniqueness of Cauchy problem ... See full document

... large-time asymptotic behavior of solutions to the Cauchy problem for a model of nonlinear dissipative evolution ...the nonlinear term does not ...of solutions in the critical ... See full document

... Numerous research activities are concerned with the oscillation of solutions to different functional differential equations, for some related contributions, we refer the reader to [–] and the references cited ... See full document

... the asymptotic behavior (for ) of solutions of the Cauchy problem for a nonlinear parabolic equation with a double nonlinearity, describing the diffusion of heat with nonlinear heat ... See full document

... time asymptotic behavior of solutions to a class of fourth-order nonlinear evolution equations with dispersive and dissipative ...strong solutions of the problems decay to zero ... See full document

... the asymptotic behavior in time of solutions to the Cauchy problem ...the asymptotic expansion of solutions in the neighborhood of the scattering ... See full document

... and asymptotic properties of solu- tions of nonlinear differential ...the asymptotic behavior of solutions of large classes of nonlinear equations (see [3, 8–10, 18, 23, 27–29, ... See full document

... constant. The nonlinear term f (u) is a smooth function with f (u) = O(u  ) for u → . Equation (.) is reduced to the classical Cahn-Hilliard equation if a =  (see []), which has been widely studied by many ... See full document

... reaction term ua − bu models the contribution of the population supply due to births and deaths; see 1 . The homogeneous Dirichlet boundary conditions model the inhospitality of the boundary. The time dependence ... See full document

... numerical solutions of boundary value problems of partial differential equations often use a variety of finite difference or finite element formulations of differential equations, it is also quite common to convert ... See full document

... probabilistic models have been studied to real time data of time series by ...the asymptotic behavior of sequence under suitable combination of second order functional ...their solutions, ... See full document

... blow-up solutions by using the integral estimation ...global solutions is shown by constructing self-similar su- ...reactions, solutions to one equation may influ- ence another ... See full document

... Djafari Rouhani, we study the asymptotic behavior of solutions of nonlinear functional differential equation dut/dt + Aut+ Gut ft, where A is a maximal monotone operator in a nilbert spa[r] ... See full document

... A supersolution [or subsolution] is similarly defined with equality of (.) replaced by ≥ [or ≤]. The weak solutions for problem (.)-(.) can be defined in a similar way as above. It is well known that problem ... See full document

... Zhijian in 13–15 studied the problem 1.1–1.3 and obtained global existence results under the growth assumptions on the nonlinear terms and initial data. These global existence results have been improved by Liu and ... See full document

... the behavior of solutions of a given differential equation and does not seek explicit ...then, asymptotic and oscillatory properties of solutions to different equations, functional differential ... See full document