Mixed type functional equations
A fixed point approach to the non-Archimedean random stability of generalized mixed type AQCQ-functional equations
... a mixed type functional equation of cubic and quartic type and obtained its general ...generalized mixed type functional equations of the ...
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Generalized Ulam - Hyers Stability of on (AQQ): Additive - Quadratic - Quartic Functional Equation
... Keywords: Additive functional equations, Quadratic functional equations, Quartic functional equations, Mixed type functional equations, Ulam - Hyers stability, Ulam - Hyers - Rassias sta[r] ...
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Generalized Ulam Hyers Stability of Jensen Functional Equation in Šerstnev PN Spaces
... of mixed type functional equations and their Ulam-Hyers stability are dealt with in various spaces like fuzzy normed spaces, random normed spaces, quasi-Banach spaces, quasi-normed linear ...
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Stability and Determinacy Conditions for Mixed type Functional Differential Equations
... The difficulty with MFDEs, which contain both delays and advances, is that both the stable manifold and the unstable manifold are infinite-dimensional. In order to establish our results, we use and extend the results of ...
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Existence Results for Fractional Order Mixed Type Functional Integro differential Equations with Impulses
... In this paper, we prove the existence of mild solutions for the semilinear fractional order functional of Volterra-Fredholm type differential equations with impulses in a Banach space. The re- sults ...
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Solutions and Stability of Generalized Mixed Type QC Functional Equations in Random Normed Spaces
... In 1978, Rassias 3 provided a generalization of Hyers’ Theorem which allows the Cauchy difference to be unbounded. In 1991, Gajda 4 answered the question for the case p > 1, which was raised by Rassias. This new ...
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Multiple periodic solutions to a class of second order nonlinear mixed type functional differential equations
... of functional di ff erential equations, one commonly uses methods of fixed point theory, coincidence degree theory, Fourier anal- ysis, and so ...erential equations by means of critical point theory ...
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Existence of solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions
... Using the Mönch fixed point theorem, this article proves the existence of mild solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions in ...
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Generalized Ulam-Hyers Stability of the Harmonic Mean Functional Equation in Two Variables
... quartic functional equations and its Hyers-Ulam-Rassias stability were discussed by various authors ([3], [7], [12], [21], [24], [27], [29], [32], [34], ...the mixed type of functional ...
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On the Generalized Ulam Gavruta Rassias Stability of Mixed Type Linear and Euler Lagrange Rassias Functional Equations
... Research Article On the Generalized Ulam-Gavruta-Rassias Stability of Mixed-Type Linear and Euler-Lagrange-Rassias Functional Equations Paisan Nakmahachalasint Received 18 April 2007; Re[r] ...
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Fuzzy stability of a mixed type functional equation
... of functional equations is “when is it true that a mapping, which approximately satisfies a functional equation, must be somehow close to an exact solution of the ...the functional equation, ...
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On the stability of a mixed type functional equation in generalized functions
... ious functional equations have been extensively studied and generalized by a number of authors (see ...following functional equation with n-independent ...
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On the stability of a mixed type quadratic additive functional equation
... Banach space. He proved that if f is a mapping between Banach spaces satisfying f (x + y) – f (x) – f (y) ≤ for some fixed ≥ , then there exists a unique additive mapping A such that f (x) – A(x) ≤ . In , Rassias [] ...
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AQ-Functional Equation in Paranormed Spaces
... respectively satisfies the equations (1.1) and (1.2) . Recently J. M. Rassias and H.M.Kim [9] investigated Generalized Hyers-Ulam stability for general additive functional equations in quasi- ...
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Controllability problem for fractional integrodifferential evolution systems of mixed type with the measure of noncompactness
... differential equations, integrodifferential equations, impulsive equations, differential inclusions, neu- tral differential equations and delay differential equations in Banach ...
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Orthogonal stability of mixed type additive and cubic functional equations
... The stability problem of functional equations originated from a question of S. M. Ulam ([12]) in 1940, concerning the stability of group homomorphisms. D. H. Hyers [8] gave a partial affirmative answer to ...
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Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions
... In the current paper, we are focused on finding some sufficient conditions to establish controllability results for a class of impulsive mixed-type functional integro-differential equations with ...
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Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces
... for all x ∈ E. Moreover if ftx is continuous in t ∈ R for each fixed x ∈ E, then T is linear. In 1978, Rassias 3 provided a generalization of Hyers’ Theorem which allows the Cauchy difference to be unbounded. In 1991, ...
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Hyers Ulam Rassias and Ulam Gavruta Rassias Stabilities of an Additive Functional Equation in Several Variables
... Nakmahachalasint, “On the generalized Ulam-Gavruta-Rassias stability of mixed-type linear and Euler-Lagrange-Rassias functional equations,” International Journal of Mathematics and Mathe[r] ...
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On Cauchy type functional equations
... 1. Introduction. Let G be a locally compact Hausdorff group, that is, a locally com- pact group which satisfies the following separation axiom: every pair of distinct points in G have disjoint neighborhoods. Let µ be a ...
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