in this paper we apply the homotopy perturbation method to derive the higher-order asymptotic distribution of the eigenvalues and eigenfunctions associated with the linear real second order equation of sturm-liouville type on $[0,pi]$ with neumann conditions $(y'(0)=y'(pi)=0)$ where $q$ is a real-valued sign-indefinite number of $c^{1}[0,pi]$ and $lambda$ is a real parameter.

This paper raises the empirical point that modal subordination is not always obligatory, and that moreover, this is a point of lexical variation. Some modals, like will, which I call definite modals, undergo modal subordination obligatorily, and some, like gonna, which I call nondefinite modals, do so optionally. I propose a dynamic framework in which, following from Frank (1997), information s...

Nonmonotonic causal logic, introduced by Norman McCain and Hudson Turner, became a basis for the semantics of several expressive action languages. McCain’s embedding of definite propositional causal theories into logic programming paved the way to the use of answer set solvers for answering queries about actions described in such languages. In this paper we extend this embedding to nondefinite ...

Whereas (3a), involving a definite quantity, triggers plural agreement, (3b), which involves a nondefinite quantity (equivalent to thousands of in English), only optionally triggers agreement. Cardinal Qs, in the varieties we focus on here, always trigger plural agreement. Vague Qs constructed out of them, on the other hand, may not. The present paper offers a preliminary analysis of the phenom...

This paper is concerned with the construction of circulant preconditioners for Toeplitz systems arising from a piecewise continuous generating function with sign changes. If the generating function is given, we prove that for any c > 0, only O(log N) eigenvalues of our preconditioned Toeplitz systems of size N xN are not contained in [-1c, -1+c]U [1-c, 1+c). The result can be modified for trigo...

We study the stability of breather solutions of a dissipative cubic discrete NLS with localized forcing. The breathers are similar to the ones found for the Hamiltonian limit of the system. In the case of linearly stable multi-peak breathers the combination of dissipation and localized forcing also leads to stability, and the apparent damping of internal modes that make the energy around multi-...

This study investigates how native Turkish-speaking participants of different ages produce new referents in narrative discourse about a 6-frame picture series. Turkish does not obligatorily encode the distinction between indefinite and definite reference with a formal article system. The expression of indefiniteness is instead achieved through a conglomeration of devices, including an optional ...