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1
Content available remote

On the uniqueness of viscosity solutions for first order partial differential-functional equations

100%
Topolski K.
Annales Polonici Mathematici
|
1994
|
tom 59
|
nr 1
65-75
EN
We consider viscosity solutions for first order differential-functional equations. Uniqueness theorems for initial, mixed, and boundary value problems are presented. Our theorems include some results for generalized ("almost everywhere") solutions.
2
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Uniqueness of meromorphic functions when two linear differential polynomials share the same 1-points

100%
Lahiri I.
Annales Polonici Mathematici
|
1999
|
tom 71
|
nr 2
113-128
EN
We prove a uniqueness theorem for meromorphic functions involving linear differential polynomials generated by them. As consequences of the main result we improve some previous results.
3
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Generalized solutions of first order partial differential functional inequalities

88%
Czernous W.
Commentationes Mathematicae
|
2006
|
tom 46
|
nr 1
EN
The paper deals with initial boundary value problems for nonlinear first order partial differential functional equations. A theorem on the uniqueness of generalized solutions is proved. It is based on a comparison result for functional differential inequalities in the Carathéodory sense. A theorem on generalized solutions of functional differential inequalities is presented.
4
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Global existence and blow-up of generalized self-similar solutions for a space-fractional diffusion equation with mixed conditions

88%
Nouioua F., Basti B.
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
|
2021
|
tom 20
43-56
EN
This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation. Therefore, through applying the properties of Schauder's and Banach's fixed point theorems; we establish several results on the global existence and blow-up of generalized self-similar solutions to this equation.
5
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Boundary Value Problems for Differential Equations with Fractional Order and Nonlinear Integral Conditions

75%
Benchohra M., Hamani S.
Commentationes Mathematicae
|
2009
|
tom 49
|
nr 2
EN
In this paper, we shall establish sufficient conditions for the existence of solutions for a class of boundary value problem for fractional differential equations involving the Caputo fractional derivative and nonlinear integral conditions.
6
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Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions

75%
Zada A., Yar M., Li T.
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
|
2018
|
tom 17
7
Content available remote

On weak solutions of functional-differential abstract nonlocal Cauchy problems

63%
Byszewski L.
Annales Polonici Mathematici
|
1996-1997
|
tom 65
|
nr 2
163-170
EN
The existence, uniqueness and asymptotic stability of weak solutions of functional-differential abstract nonlocal Cauchy problems in a Banach space are studied. Methods of m-accretive operators and the Banach contraction theorem are applied.
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