Uniqueness implies existence of solutions for nonlinear(k;j)point boundary value problems for nth order differential equations
نویسندگان
چکیده
منابع مشابه
UNIQUENESS IMPLIES EXISTENCE OF SOLUTIONS FOR NONLINEAR (k; j) POINT BOUNDARY VALUE PROBLEMS FOR NTH ORDER DIFFERENTIAL EQUATIONS
We begin by defining an apppropriate linear point boundary condition. Given 1 ≤ j ≤ n−1 and 1 ≤ k ≤ n− j, positive integers m1, . . ., mk such that m1 + · · ·+mk = n− j, points a < x1 < · · · < xk < xk+1 < · · · < xk+j < b, real numbers yil, 1 ≤ i ≤ ml, 1 ≤ l ≤ k, and real numbers yn−j+l, 1 ≤ l ≤ j, a boundary condition of the form y(xl) = yil, 1 ≤ i ≤ m, 1 ≤ l ≤ k, y(xk+l) = yn−j+l, 1 ≤ l ≤ j,...
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2009
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2009.4.11