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ISSN : 1226-0657
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Vol.8 No.1
Abstract
Semi-invariant submanifolds of Lorentzian almost paracontact mani-folds are studied. Integrability of certain distributions on the submanifold are in vestigated. It has been proved that a LP-Sasakian manifold does not admit a proper semi-invariant submanifold.
Abstract
In some problems of abstract approximation theory the approximating set depends on some parameter p. In this paper, we make a set M(f) depends on the element f, <TEX>$\phi$</TEX> and then best approximations are sought from a subset M(f) of M.
Abstract
This paper gives the sufficient conditions for the existence of positive solution of a quasilinear elliptic with homogeneous Dirichlet boundary conditon.
Abstract
Let A be a nonnegative matrix of size <TEX>$n \times n$</TEX>. A is said to be nearly convertible if A(i│j) is convertible for all integers i, j<TEX>$\in$</TEX>{1,2,…, n} where A(i│j) denote the submatrix obtained from A by deleting the i-th row and the j-th col-umn. We investigate some properties of nearly convertible matrices and existence of (maximal)nearly convertible matrices of size n is proved for any integers <TEX>$n(\geq 3)$</TEX>.
Abstract
The purpose of this paper is to study totally umbilical coisotropic sub-manifold(M. g, SM) of a semi-Riemannian manifold(M,g)
Abstract
We establish the global existence of nonnegative solutions to some reaction-diffusion equation for exponential nonlinearity for small initial data.
Abstract
In this paper, we define the <TEX>$H_1$</TEX>-Stieltjes representable, nearly <TEX>$H_1$</TEX>-Stieltjes represnetable for vector-valued function, which is the generalization of Bochner representable and than study some properties of these operators.
Abstract
The purpose of this paper is to introduce the Nielsen root number for the complement N(f:X-A,c) which shares such properties with the Nielsen root number N(f;c) as lower bound and homotopy invariance.
Abstract
In 1984, Johnson[A bounded convergence theorem for the Feynman in-tegral, J, Math. Phys, 25(1984), 1323-1326] proved a bounded convergence theorem for hte Feynman integral. This is the first stability theorem of the Feynman integral as an <TEX>$L(L_2 (\mathbb{R}^N), L_2(\mathbb{R}^{N}))$</TEX> theory. Johnson and Lapidus [Generalized Dyson series, generalized Feynman digrams, the Feynman integral and Feynmans operational calculus. Mem, Amer, Math, Soc. 62(1986), no 351] studied stability theorems for the Feynman integral as an <TEX>$L(L_2 (\mathbb{R}^N), L_2(\mathbb{R}^{N}))$</TEX> theory for the functional with arbitrary Borel measure. These papers treat functionals which involve only a single integral. In this paper, we obtain the stability theorems for the Feynman integral as an <TEX>$L(L_1 (\mathbb{R}^N), L_{\infty}(\mathbb{R}^{N}))$</TEX>theory for the functionals which involve double integral with some Borel measures.