By means of the continuation theorem of coincidence degree theory, some newresults on the non-existence, existence and unique existence of periodic solutions for a kind ofsecond order neutral functional differential e...By means of the continuation theorem of coincidence degree theory, some newresults on the non-existence, existence and unique existence of periodic solutions for a kind ofsecond order neutral functional differential equation are obtained.展开更多
Consider the RDDE's initial value problemwhere a, b and τ are arbitrary real constants, and τ＞ 0, φ(θ) is a given initial function.In this paper, we find series expansions of the accurate solution of the ini...Consider the RDDE's initial value problemwhere a, b and τ are arbitrary real constants, and τ＞ 0, φ(θ) is a given initial function.In this paper, we find series expansions of the accurate solution of the initial valueproblem (EI).展开更多
Shift Harnack inequality and integration by parts formula are established for semilinear stochastic partial differential equations and stochastic functional partial differential equations by modifying the coupling use...Shift Harnack inequality and integration by parts formula are established for semilinear stochastic partial differential equations and stochastic functional partial differential equations by modifying the coupling used by F. -Y. Wang [Ann. Probab., 2012, 42（3）： 994-1019]. Log-Harnack inequality is established for a class of stochastic evolution equations with non- Lipschitz coefficients which includes hyperdissipative Navier-Stokes/Burgers equations as examples. The integration by parts formula is extended to the path space of stochastic functional partial differential equations, then a Dirichlet form is defined and the log-Sobolev inequality is established.展开更多
基金The project is supported by the National Natural Science Foundation 19871005
文摘By means of the continuation theorem of coincidence degree theory, some newresults on the non-existence, existence and unique existence of periodic solutions for a kind ofsecond order neutral functional differential equation are obtained.
文摘Consider the RDDE's initial value problemwhere a, b and τ are arbitrary real constants, and τ＞ 0, φ(θ) is a given initial function.In this paper, we find series expansions of the accurate solution of the initial valueproblem (EI).
文摘Shift Harnack inequality and integration by parts formula are established for semilinear stochastic partial differential equations and stochastic functional partial differential equations by modifying the coupling used by F. -Y. Wang [Ann. Probab., 2012, 42（3）： 994-1019]. Log-Harnack inequality is established for a class of stochastic evolution equations with non- Lipschitz coefficients which includes hyperdissipative Navier-Stokes/Burgers equations as examples. The integration by parts formula is extended to the path space of stochastic functional partial differential equations, then a Dirichlet form is defined and the log-Sobolev inequality is established.
