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Titlebook: State-Dependent Impulses; Boundary Value Probl Irena Rachůnková,Jan Tomeček Book 2015 The Editor(s) (if applicable) and The Author(s), unde

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发表于 2025-3-26 21:09:09 | 显示全部楼层
Higher Order Equation with General Linear Boundary Conditionseing that each possible solution of the problem in a given region crosses each barrier . at a unique impulse point . are presented, and consequently the existence of a solution to the problem is proved.
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Dirichlet Problem with Time Singularities ., ., ., .. We prove the existence of a solution to this problem under the assumption that there exist lower and upper functions associated with the problem. The solution has continuous first derivative also at the singular points . and .. Our proofs are based on the regularization technique and on
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Dirichlet Problem via Lower and Upper Functionste-dependent impulse conditions, where .. The solvability of this problem is proved under the assumption that there exists a well-ordered couple of lower and upper functions to the corresponding Dirichlet problem without impulses. The main result is contained in the existence theorem which can be ap
发表于 2025-3-28 03:19:35 | 显示全部楼层
Sturm–Liouville Problem., ., ., and the data functions ., ., ., ., are bounded, transversality conditions for the barriers ., ., which yield the solvability of the problem, are delivered. An application to the problem with unbounded data functions is demonstrated.
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Higher Order Equation with General Linear Boundary Conditionstions of the equations .Here ., the functions ., ., are Lebesgue integrable on [., .] and . satisfies the Carathéodory conditions on .. The impulse functions ., ., ., and the barrier functions ., ., are continuous on . and ., respectively. This impulsive differential equation is subject to the gener
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