نتایج جستجو برای: infinitely many solutions
تعداد نتایج: 1253057 فیلتر نتایج به سال:
Journal:
:Journal of Mathematical Analysis and Applications
2015
Journal:
:Discrete and Continuous Dynamical Systems - Series B
2016
Journal:
Iranian Journal of Mathematical Sciences and Informatics
2020
Given the positive integers m,n, solving the well known symmetric Diophantine equation xm+kyn=zm+kwn, where k is a rational number, is a challenge. By computer calculations, we show that for all integers k from 1 to 500, the Diophantine equation x6+ky3=z6+kw3 has infinitely many nontrivial (y≠w) rational solutions. Clearly, the same result holds for positive integers k whose cube-free part is n...
Journal:
:Journal of Mathematical Analysis and Applications
2009
Journal:
:Transactions of the American Mathematical Society
1987
Journal:
:Annales Polonici Mathematici
2010
Journal:
:Journal of Differential Equations
2011
Journal:
:Advances in Difference Equations
2012
Journal:
:Computers & Mathematics with Applications
2016
Journal:
:Rocky Mountain Journal of Mathematics
2013
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