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On solvability of focal boundary value problems for higher order functional differential equations with integral restrictions

机译:基于整体限制的高阶函数微分方程的焦边值问题的可解性

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Sharp conditions are obtained for the unique solvability of focal boundary value problems for higher-order functional differential equations under integralrestrictions on functional operators. In terms of the norm of the functional operator,unimprovable conditions for the unique solvability of the boundary value problem areestablished in the explicit form. If these conditions are not fulfilled, then there exists apositive bounded operator with a given norm such that the focal boundary value problem with this operator is not uniquely solvable. In the symmetric case, some estimatesof the best constants in the solvability conditions are given. Comparison with existingresults is also performed..
机译:在功能运营商的整体算子下,为高阶函数微分方程的焦点边值问题的独特可溶性获得急剧条件。就功能操作员的规范而言,在明确形式中建立了边界值问题的独特可解的无法实现的条件。如果没有满足这些条件,则存在具有给定规范的向前有界操作者,使得该操作员的焦平边值问题不是唯一可溶解的。在对称情况下,给出了可加工条件中最佳常数的一些估计。还执行与现有问题的比较..

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