8 citations · 19 across the 15 of their papers we have counts for
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On Relative Category and Morse Decompositions for Infinite-Dimensional Dynamical Systems
Jintao Wang, Desheng Li
We employ the relative category to develop relations between the Ważewski pair and the Morse decomposition of the maximal invariant set in $\ol{N\sm E}$ for infinite-dimens…
Global Estimates and Regularity of Retarded Parabolic Equations with Fast-growing Nonlinearities
Desheng Li
This paper is concerned with global estimates and regularity of solutions for the initial value problem of the retarded parabolic equation $$\frac{\patial u}{\patial t}-Δu=f(x,u)+g…
Uniform Decay Estimates for Solutions of a Class of Retarded Integral Inequalities
Desheng Li, Qiang Liu, Xuewei Ju
Some uniform decay estimates are established for solutions of the following type of retarded integral inequalities: $$y(t)\leq E(t,τ)||y_τ||+\int_τ^t K_1(t,s)||y_s||ds+\int_t^\inft…
Equilibrium Index of Invariant Sets and Global Static Bifurcation for Nonlinear Evolution Equations
Desheng Li, Zhi-qiang Wang
We introduce the notion of equilibrium index for statically isolated invariant sets of the system on Banach space (where is a sectorial operator with compa…