The aim of the article, defined by the author as discursive, is to give the answer as to whether within ‘revitalization’ we should distinguish the notion of ‘linear revitalization’ – not yet defined in Polish and English-language literature. The author presents the thesis that we should do so by presenting the idea, its specific character and its role. This kind of action seems to have, in the author’s opinion, a positive influence...

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Praca dotyczy istnienia i jednoznaczności rozwiązań dla problemów brzegowych w tym również i problemów z wielopunktowymi warunkami brzegowymi.

A certain non-linear differential equation containing a power of unknown function being the solution is considered with application to selected geotechnical problems. The equation can be derived to a linear differential equation by a proper substitution and properties of the operations G and S.

In this paper, we investigate the existence of solutions for advanced fractional differential equations containing the right-handed Riemann-Liouville fractional derivative both with nonlinear boundary conditions and also with initial conditions given at the end point T of interval [0,T ]. We use both the method of successive approximations, the Banach fixed point theorem and the monotone iterative technique, as well. Linear problems...