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Displaying 681 – 700 of 1972

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Further results for some third order differential systems with nonlinear dissipation

Awar Simon Ukpera (2004)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

We formulate nonuniform nonresonance criteria for certain third order differential systems of the form X ' ' ' + A X ' ' + G ( t , X ' ) + C X = P ( t ) , which further improves upon our recent results in [12], given under sharp nonresonance considerations. The work also provides extensions and generalisations to the results of Ezeilo and Omari [5], and Minhós [9] from the scalar to the vector situations.

Generalization of p-regularity notion and tangent cone description in the singular case

Wiesław Grzegorczyk, Beata Medak, Alexey A. Tret’yakov (2012)

Annales UMCS, Mathematica

The theory of p-regularity has approximately twenty-five years’ history and many results have been obtained up to now. The main result of this theory is description of tangent cone to zero set in singular case. However there are numerous nonlinear objects for which the p-regularity condition fails, especially for p > 2. In this paper we generalize the p-regularity notion as a starting point for more detailed consideration based on different p-factor operators constructions.

Generalized Boundary Value Problems for Nonlinear Fractional Langevin Equations

Xuezhu Li, Milan Medveď, Jin Rong Wang (2014)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In this paper, generalized boundary value problems for nonlinear fractional Langevin equations is studied. Some new existence results of solutions in the balls with different radius are obtained when the nonlinear term satisfies nonlinear Lipschitz and linear growth conditions. Finally, two examples are given to illustrate the results.

Generalized boundary value problems with linear growth

Valter Šeda (1998)

Mathematica Bohemica

It is shown that for a given system of linearly independent linear continuous functionals l i C n - 1 , i = 1 , , n , the set of all n -th order linear differential equations such that the Green function for the corresponding generalized boundary value problem (BVP for short) exists is open and dense in the space of all n -th order linear differential equations. Then the generic properties of the set of all solutions to nonlinear BVP-s are investigated in the case when the nonlinearity in the differential equation has...

Generalized differential equations in the space of regulated functions (boundary value problems and controllability)

Milan Tvrdý (1991)

Mathematica Bohemica

Boundary value problems for generalized linear differential equations and the corresponding controllability problems are dealt with. The adjoint problems are introduced in such a way that the usual duality theorems are valid. As a special case the interface boundary value problems are included. In contrast to the earlier papers by the author the right-hand side of the generalized differential equations as well as the solutions of this equation can be in general regulated functions (not necessarily...

Currently displaying 681 – 700 of 1972