Tumuluri, Suman Kumar
Published in
Indian Journal of Pure and Applied Mathematics

In this article we consider a variant of age-structured nonlinear Lebowitz-Rubinow equation. We study the linear stability of this equation near the nontrivial steady state by analyzing the corresponding characteristic equation. In particular, we provide some sufficient conditions under which the nonzero steady state is linearly stable.

Chen, Lin Zhang, Jianhua
Published in
Indian Journal of Pure and Applied Mathematics

In this paper, we characterize the *-Jordan semi-triple derivable mappings (i.e. a mapping Φ from * algebra A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{A}...

Das, Pradeep
Published in
Indian Journal of Pure and Applied Mathematics

This paper describes the construction of a natural Hermitian holomorphic line bundle on the stratified moduli space of complex representations of a finite quiver, which are semistable with respect to a fixed rational weight and have a fixed type. It is shown that the curvature of this Hermitian line bundle on each stratum of the moduli space is ess...

Sahoo, Sueet Millon Raja Sekhar, T. Raja Sekhar, G. P.
Published in
Indian Journal of Pure and Applied Mathematics

In this paper, we consider quasilinear hyperbolic system of balance laws describing one-dimensional nonhomogeneous shallow water equations with generalized Riemann initial data. We obtain exact solutions to the shallow water equations with friction by using differential constraint method. A special case of the obtained solution provides well known ...

Zhang, Shaoyong Gu, Zhaohui Li, Yongjin
Published in
Indian Journal of Pure and Applied Mathematics

Let λ be a reflexive Banach sequence lattice and X be a Banach lattice. In this paper, we show that the positive injective tensor product λ⊗⌣|ε|X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{...

Radha, R. Padmavati, B. Sri
Published in
Indian Journal of Pure and Applied Mathematics

In this paper we discuss a new approach to discuss Stokes flow past porous bodies of arbitrary shape using the Darcy [1] model and Saffman [2] boundary conditions.

Yang, Xiaoyun Wang, Ligong
Published in
Indian Journal of Pure and Applied Mathematics

Let H(ptK1m∗)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H(p,tK_{1,m}^ * )$$\end{document} be a connected unicyclic graph with p + t(m + 1) vertices obtained from t...

Chu, Wenchang
Published in
Indian Journal of Pure and Applied Mathematics

By examining higher derivatives of hyperbolic functions, we derive monomial and binomial representation formulae, that are utilized to establish several multiple convolution identities for the Bernoulli numbers Bn, Euler numbers En and two variants of Bn

Borah, Jayanta Bora, Swaroop Nandan
Published in
Indian Journal of Pure and Applied Mathematics

In this article, we establish sufficient conditions for existence and uniqueness of integral solution for some non-densely defined non-instantaneous impulsive evolution equations on a Banach space involving Caputo fractional derivative. The results are obtained by means of characteristic functions based on probability density. Finally, the main res...

Singh, Anup Kumar Ye, Dongxi
Published in
Indian Journal of Pure and Applied Mathematics

In this work, we establish Ramanujan–Mordell type formulas associated to certain quadratic forms of discriminants 20k or 32k. In the end, a remark is given to illustrate potential extensions to other related cases.