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   Asymptotic behaviour of eigenvalues and eigenfunctions of a sturm-liouville problem with retarded argument  
   
نویسنده şen e. ,seo j.j. ,araci s.
منبع journal of applied mathematics - 2013 - دوره : 2013 - شماره : 0
چکیده    In the present paper,a discontinuous boundary-value problem with retarded argument at the two points of discontinuities is investigated. we obtained asymptotic formulas for the eigenvalues and eigenfunctions. this is the first work containing two discontinuities points in the theory of differential equations with retarded argument. in that special case the transmission coefficients δ=γ=1 and retarded argument δ≡0 in the results obtained in this work coincide with corresponding results in the classical sturm-liouville operator. © 2013 erdoǧan şen et al.
آدرس department of mathematics,faculty of arts and science,namik kemal university,59030 tekirdaǧ,turkey,department of mathematics engineering,istanbul technical university,maslak, Turkey, department of applied mathematics,pukyong national university, South Korea, department of mathematics,faculty of science and arts,university of gaziantep, Turkey
 
     
   
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