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   an existence result of three solutions for a 2n-th-order boundary-value problem  
   
نویسنده halakoo osman ,afrouzi ghasem a. ,azhini mahdi
منبع international journal of nonlinear analysis and applications - 2021 - دوره : 12 - شماره : 1 - صفحه:679 -691
چکیده    ‎in this paper‎, ‎we establish the existence of at least three weak solutions for some one-dimensional 2n-th-order equations in a bounded domain‎. ‎a particular case and a concrete example are then presented‎.
کلیدواژه ‎boundary value problem‎، ‎sobolev space‎، ‎critical point‎، ‎three solutions‎، ‎variational method
آدرس ‎islamic azad university‎, ‎science and research branch‎, department of mathematics‎, iran, university of mazandaran, faculty of mathematical sciences, department of mathematics, iran, ‎islamic azad university‎, ‎science and research branch‎, department of mathematics‎, iran
پست الکترونیکی m.azhini@srbiau.ac.ir
 
     
   
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