In this paper, we use the concentration-compactness principle together with the Mountain Pass Lemma to get the existence of nontrivial solutions and the existence of infinitely many solutions of the problem need not b...In this paper, we use the concentration-compactness principle together with the Mountain Pass Lemma to get the existence of nontrivial solutions and the existence of infinitely many solutions of the problem need not be compact operators from E to R~1.展开更多
In this paper we will first get some results about Banach valued stochastic integral.Then we will discuss the linear stochastic equations of evolution with random coefficients.and obtain the existence and uniqueness t...In this paper we will first get some results about Banach valued stochastic integral.Then we will discuss the linear stochastic equations of evolution with random coefficients.and obtain the existence and uniqueness theorem as well as the perturbation theorem展开更多
Tn this paper we point out some similarities of multiple Stratonovitch integrale series with Talor series and prove some properties and a convergence theorem.
In this paper the existence of random solutions of operator equations with A-proper Operators is studied. The random analog of deterministic results obtained by Petryshyn in [9] and [10] for such operators is the main...In this paper the existence of random solutions of operator equations with A-proper Operators is studied. The random analog of deterministic results obtained by Petryshyn in [9] and [10] for such operators is the main theorems. It is then followed by existence reuslts for the Second order differential equation with Newmann boundary value problem.展开更多
文摘In this paper, we use the concentration-compactness principle together with the Mountain Pass Lemma to get the existence of nontrivial solutions and the existence of infinitely many solutions of the problem need not be compact operators from E to R~1.
文摘In this paper we will first get some results about Banach valued stochastic integral.Then we will discuss the linear stochastic equations of evolution with random coefficients.and obtain the existence and uniqueness theorem as well as the perturbation theorem
文摘Tn this paper we point out some similarities of multiple Stratonovitch integrale series with Talor series and prove some properties and a convergence theorem.
文摘In this paper the existence of random solutions of operator equations with A-proper Operators is studied. The random analog of deterministic results obtained by Petryshyn in [9] and [10] for such operators is the main theorems. It is then followed by existence reuslts for the Second order differential equation with Newmann boundary value problem.