Systems of Stieltjes Differential Equations with Several Derivators
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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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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
The perturbations of two general equations in several variables on quasi-Banach spaces
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DOI: 10.2298/fil2428013l
Abstract: In this paper, we study the stability of two general multi-variable functional equations on quasi-Banach spaces by the fixed point method. We also obtain generalizations of the early results on the stability of some classical… read more here.
Keywords: quasi banach; two general; general equations; banach spaces ... See more keywords
On the Oscillatory Behavior of Solutions of Second-Order Damped Differential Equations with Several Sub-Linear Neutral Terms
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DOI: 10.3390/math12203217
Abstract: The oscillation and asymptotic behavior of solutions of a general class of damped second-order differential equations with several sub-linear neutral terms is considered. New sufficient conditions are established to fulfill a part of the gap… read more here.
Keywords: behavior solutions; sub linear; differential equations; linear neutral ... See more keywords
Hyers–Ulam–Rassias Stability of Set Valued Additive and Cubic Functional Equations in Several Variables
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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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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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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