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Now showing items 1-9 of 9

#### Convergence analysis and numerical solution of the Benjamin-Bona-Mahony equation by Lie-Trotter splitting

(TUBITAK, 2018)

In this paper, an operator splitting method is used to analyze nonlinear Benjamin-Bona-Mahony-type equations. We split the equation into an unbounded linear part and a bounded nonlinear part and then Lie-Trotter splitting ...

#### Inequalities for the vibrating clamped plate problem

(TÜBİTAK, 2001)

We study the eigenvalues of the vibrating clamped plate problem. We have made improvements on the bounds of the ratios of the eigenvalues of the biharmonic operator (clamped plate) using the methods of Payne, Polya, and ...

#### Lebesgue-Stieltjes measure on time scales

(TÜBİTAK, 2009)

The theory of time scales was introduced by Stefan Hilger in his Ph. D. thesis in 1988, supervised by Bernd Auldbach, in order to unify continuous and discrete analysis [5]. Measure theory on time scales was first constructed ...

#### Recursion formula for the Green's function of a Hamiltonian for several types of Dirac delta-function potentials in curved spaces

(TÜBİTAK, 2016)

In this short article, we nonperturbatively derive a recursive formula for the Green's function associated with finitely many point Dirac delta potentials in one dimension. We extend this formula to the one for the Dirac ...

#### Casimir energies for some single cavities

(TÜBİTAK, 2006)

Casimir energies for some single cavities. Casimir energies are discussed for some cavities.

#### On density theorems for rings of Krull type with zero divisors

(TÜBİTAK, 2014-05)

Let R be a commutative ring and I(R) denote the multiplicative group of all invertible fractional ideals of R, ordered by A ≥ B if and only if B ⊆ A. If R is a Marot ring of Krull type, then R(Pi), where {Pi}i∈I are a ...

#### When δ-semiperfect rings are semiperfect

(TÜBİTAK, 2010-09)

Zhou defined δ -semiperfect rings as a proper generalization of semiperfect rings. The purpose of this paper is to discuss relative notions of supplemented modules and to show that the semiperfect rings are precisely the ...

#### Small supplements, weak supplements and proper classes

(Hacettepe Üniversitesi, 2016)

Let SS denote the class of short exact sequences E:0 → Af→ B → C → 0 of R-modules and R-module homomorphisms such that f(A) has a small supplement in B i.e. there exists a submodule K of M such that f(A) + K = B and f(A) ...

#### Corrigendum: On density theorems for rings of Krull type with zero divisors

(TÜBİTAK, 2017)

This corrigendum is written to correct some parts of the paper "On density theorems for rings of Krull type with zero divisors". The proofs of Proposition 2.4 and Proposition 4.3 are incorrect and the current note makes ...