In this paper we establish new nonlinear Liouville theorems for parabolic problems on half spaces. Based on the Liouville theorems, we derive estimates for the blow-up of positive solutions of indefinite parabolic problems and investigate the complete blow-up of these solutions. We also discuss a priori estimates for indefinite elliptic problems.

In this paper, we study half lightlike submanifolds M of an indefinite generalized Sasakian space form M̄(f1, f2, f3), with an indefinite trans-Sasakian structure of type (α, β), subject to the condition that the structure vector field of M̄ is tangent to M . Our main result is a characterization theorem for such a half lightlike submanifold. Mathematics Subject Classification: 53C25, 53C40, 53C50

We study half lightlike submanifold M of an indefinite transSasakian manifold such that its structure vector field is tangent to M . First we study the general theory for such half lightlike submanifolds. Next we prove some characterization theorems for half lightlike submanifolds of an indefinite generalized Sasakian space form.

In this paper, we study the geometry of lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection. The main result is a characterization theorem for such a lightlike hypersurface of an indefinite generalized Sasakian space form. Mathematics Subject Classification: 53C25, 53C40, 53C50

1. I N T R O D U C T I O N Global optimization of constrained quadratic problems has been the subject of active research during the last two decades. Quadratic programming is a very old and important problem of optimization. It has numerous applications in many diverse fields of science and technology and plays a key role in many nonlinear programming methods. Nonconvex quadratic programming re...

A selfadjoint involutive matrix J endows C with an indefinite inner product [·, ·] given by [x, y] := 〈Jx, y〉, x, y ∈ C. We present some inequalities of indefinite type involving the α−power mean and the chaotic order. These results are in the vein of those obtained by E. Kamei [6, 7].

Generalizing [10] we express universal triple Massey products between line bundles on elliptic curves in terms of Hecke’s indefinite theta series. We show that all Hecke’s indefinite theta series arise in this way. 2000 Math. Subj. Class. Primary 14H52; Secondary 55S30.

In this article we define the Riemann indefinite integral of functions of real variable and prove the linearity of that [1]. And we give some examples of the indefinite integral of some elementary functions. Furthermore, also the theorem about integral operation and uniform convergent sequence of functions is proved. provide the terminology and notation for this paper.

The paper addresses a typologically unusual instance of Multiple Exponence: some wh-based items in Digor Ossetic, an agglutinative Eastern Iranian language spoken the Caucasus, exhibit double case marking plural. For example, allative plural indefinite ka-dɐr who-INDEFINITE ‘someone’ is kɐ-mɐ-dɐr-tɐ-mɐ who-ALLATIVE-INDEFINITE-PLURAL-ALLATIVE. I propose analysis this phenomenon framework Distrib...

Abstract We prove an analogue of Kronecker’s second limit formula for a continuous family “indefinite zeta functions”. Indefinite functions were introduced in the author’s previous paper as Mellin transforms indefinite theta functions, defined by Zwegers. Our is valid dimension $$g=2$$ g = <mm...