[PDF] Top 20 Second order differential operators with interior singularity

... Aydemir and Mukhtarov Advances in Difference Equations (2015) 2015 26 DOI 10 1186/s13662 015 0360 7 R E S E A R C H Open Access Second order differential operators with interior singularity Kadriye Ay[.] ... See full document

... Ding’s work has attracted the attention of many specialists in differential equations. More recently, topological degree theory [–], the Schauder fixed point theorem [, ], the Krasnoselskii fixed point theorem in a cone ... See full document

... by second-order differential operators; other techniques involved in this section include perturbation theory and the use of generalized heat kernels in general reproducing kernel Hilbert ... See full document

... Theorem  Under the assumptions (.) and (.), all the solutions of (.) are bounded. The main idea of our proof is acquired from []. The proof of Theorem  is based on a small twist theorem due to Ortega []. It ... See full document

... At the beginning, most of work concentrated on second-order singular differential equa- tion, as in the references we mentioned above. Recently there have been published some results on third-order ... See full document

... for second–order elliptic partial differential equations; see, for example, ...so–called interior penalty (IP) DGFEMs, ...partial differential equations concentrated on the development ... See full document

... and they found that if α ≥ , a positive T -periodic solution existed if and only if h(t) had a negative mean value. This last result was best possible in that for any α,  < α < , h can be chosen so that h had a ... See full document

... Inverse spectral problems consist of recovering operators from given spectral characteris- tics. Such problems play an important role in mathematics and have many applications in natural sciences and engineering ... See full document

... strong singularity as well as the case of a weak ...a second existence result for (.). We prove that a weak singularity enables the achievement of new existence criteria through a basic application ... See full document

... There are very few rigorous results regarding the convergence of nonlinear multigrid methods, in particular the FAS scheme. An almost complete bibliog- raphy on the matter is given by [22, 24, 25, 40, 41, 46, 51], ... See full document

... …(1) where 𝑥 ∈ 𝐷 ⊂ 𝑅 𝑛 , 𝐷 is closed and bounded domain subset of Euclidean space 𝑅 𝑛 and 𝐷 1 , 𝐷 2 , 𝐷 3 , 𝐷 4 𝐷 ∗ , 𝐷 ∗∗ are bounded domains subset of Euclidean space 𝑅 𝑚 . Suppose that in the domain (1) the vector ... See full document

... We make a note on how the two methods are applied in a nested iteration (cf. [12, 48]), as this is often useful in practice to obtain an initial approxi- mation on a fine grid. In the nested iteration, approximations are ... See full document

... This paper is devoted to the numerical scheme for the impulsive differential equations. The main idea of this method is, for the first time, to establish a broken reproducing kernel space that can be used in pulse models. ... See full document

... for differential equations. The concept of the differential transform method was first proposed by Zhou[8], who solved linear and nonlinear initial value problems in electric circuit ...used ... See full document

... This paper is concerned with the existence of solutions of a second-order impulsive differential equation with mixed boundary condition. We obtain sufficient conditions for the existence of a unique solution, ... See full document

... KEY WORDS AND PHRASES Bounded linear operator, Bohr-Neuebauer property, Bochner Stepanov or weakly almost periodic function, completely continuous normal operator.. 1970 AMS SUBJECT CLAS[r] ... See full document

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 289340, 8 pages doi 10 1155/2010/289340 Research Article On the Oscillation of Second Order Neutral Delay Differ[.] ... See full document

... recovering operators from their spectral ...higher order differential operators [–] and other classes of differential ...nonlocal operators, inverse problems are more difficult to investigate, ... See full document

... In the last decades, there has been an increasing interest in obtaining sufficient conditions for the oscillation of solutions for different classes of second order dif- ferential equations. Especially, by ... See full document

... Introduction and Statement of the Main Results In this paper we shall study the existence of periodic solutions of the second-order differential equation of the form.. We note that the s[r] ... See full document