LAUSR

Systems of Stieltjes Differential Equations with Several Derivators

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0 Published in 2019 at "Mediterranean Journal of Mathematics"

DOI: 10.1007/s00009-019-1321-2

Abstract: We set up the basic theory of existence and uniqueness of solutions for systems of differential equations with usual derivatives replaced by Stieltjes derivatives. In this occasion, we are concerned about those systems where each… read more here.

Keywords: systems stieltjes; differential equations; equations several; several derivators ... See more keywords

HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES

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0 Published in 2020 at "Bulletin of the Australian Mathematical Society"

DOI: 10.1017/s0004972720000556

Abstract: Zhang [‘On hyperstability of generalised linear functional equations in several variables’, Bull. Aust. Math. Soc.92 (2015), 259–267] proved a hyperstability result for generalised linear functional equations in several variables by using Brzdęk’s fixed point theorem.… read more here.

Keywords: functional equations; equations several; linear functional; hyperstability ... See more keywords

Hyers–Ulam–Rassias Stability of Set Valued Additive and Cubic Functional Equations in Several Variables

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0 Published in 2019 at "Mathematics"

DOI: 10.3390/math7090836

Abstract: In this paper, we establish Hyers–Ulam–Rassias stability results belonging to two different set valued functional equations in several variables, namely additive and cubic. The results are obtained in the contexts of Banach spaces. The work… read more here.

Keywords: functional equations; equations several; set valued; rassias stability ... See more keywords

Functional Differential Equations with Several Delays: Oscillatory Behavior

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1 Published in 2022 at "Symmetry"

DOI: 10.3390/sym14081570

Abstract: In this work, we study the asymptotic behavior of even-order delay functional differential equation. As an extension of the recent development in the study of oscillation, we obtain improved and simplified criteria that test the… read more here.

Keywords: equations several; delays oscillatory; several delays; differential equations ... See more keywords

Oscillation criteria for linear difference equations with several variable delays

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0 Published in 2021 at "Opuscula Mathematica"

DOI: 10.7494/opmath.2021.41.5.613

Abstract: We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type oscillation criteria from the literature by letting… read more here.

Keywords: difference equations; several variable; oscillation criteria; equations several ... See more keywords