Name
Title | ||
|---|---|---|
Well-posed problem of nonlinear singular distributed parameter systems and nonlinear GE-semigroup |
Abstract | ||
|---|---|---|
According to the well-posed problem of nonlinear singular distributed parameter systems, frst of all, the nonlinear GE-semigroup induced by a continuous(possibly nonlinear) operator is introduced in Banach space, which is a generalization of GE-semigroup(i.e., generalized operator semigroup), and the properties of nonlinear GE-semigroup are discussed; and then the existence, uniqueness and constructive expression for the strong solution of nonlinear singular distributed parameter system are discussed by nonlinear GE-semigroup; at last, the exponential stability of nonlinear singular distributed parameter system is studied by using nonlinear GE-semigroup, functional analysis and operator theory in Banach space. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1007/s11432-013-4852-3 | SCIENCE CHINA Information Sciences |
Keywords | Field | DocType |
nonlinear ge-semigroup,exponential stability,well-posed problem,banach space,nonlinear singular distributed parameter systems | Mathematical optimization,Nonlinear system,Strictly singular operator,Mathematical analysis,Singular solution,Banach space,Exponential stability,Distributed parameter system,Operator (computer programming),Semigroup,Mathematics | Journal |
Volume | Issue | ISSN |
56 | 12 | 1869-1919 |
Citations | PageRank | References |
1 | 0.36 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| zhaoqiang | 1 | 28 | 5.82 |
| Dexing Feng | 2 | 24 | 4.82 |