[PDF] Top 20 Generalized Hyers-Ulam stability of second order linear ordinary differential equation with initial condition
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Generalized Hyers-Ulam stability of second order linear ordinary differential equation with initial condition
... the Hyers-Ulam stability of the differential equation of the form ty 00 (t) + αty 0 (t) + β y(t) = ...the; Hyers-Ulam-Rassias stability of linear ... See full document
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Hyers-Ulam-Rassias stability of nth order linear ordinary differential equations with initial conditions
... nonhomogeneous second order Linear Differential Equations of the form y 00 + p ( x ) y 0 + q ( x ) y + r ( x ) = 0 under some special ...the Hyers-Ulam stability for ... See full document
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Approximately $n$-order linear differential equations
... the linear differential equation of order k, with condition that there exists a non–zero solution of corresponding homogeneous equation, satisfying the generalized ... See full document
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Hyers Ulam Stability of Nonhomogeneous Linear Differential Equations of Second Order
... In connection with the stability of exponential functions, Alsina and Ger 6 remarked that the differential equation y y has the Hyers-Ulam stability. More explicitly, they proved that if ... See full document
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Hyers Ulam Rassias Stability for the Heat Equation
... the Hyers-Ulam stability of first-order linear partial differential ...first order and second order Nonlinear partial differential ...the ... See full document
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Hyers Ulam Rassias stability of first order linear partial fuzzy differential equations under generalized differentiability
... the Ulam stability problem of differential ...the Hyers-Ulam stability of the differential equation y = ...the stability results of the differential equation y = λy in ... See full document
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Invariance of Hyers Ulam stability of linear differential equations and its applications
... the generalized Hyers-Ulam stability of linear differential equations of nth order (defined on I) is invariant under any monotone one-to-one correspondence τ : I → J which is n ... See full document
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On Hyers-Ulam Stability for Nonlinear Differential Equations of nth Order
... the stability of linear differential equation of second order in the sense of the Hyers and Ulam y 00 = ...the stability of nonhomogeneous linear ... See full document
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Hyers ulam stability of exact second order linear differential equations
... 1. Ulam, SM: In Problems in Modern Mathematics, ...2. Hyers, DH: On the stability of the linear functional ...the stability of the linear mapping in Banach ...and ... See full document
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On the stability of linear differential equations of second order
... the Hyers-Ulam stability of the linear differential equation ...the equation y 00 (x)+αy 0 (x)+βy(x) = f (x) always has the Hyers-Ulam stability and ... See full document
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Hyers Ulam Stability of a Generalized Second Order Nonlinear Differential Equation
... 1940 Ulam posed the basic problem of the stability of functional equations: Give conditions in order for a linear mapping near an approximately linear mapping to exist ...by ... See full document
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Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay
... Despite the large amount of works on Volterra integral equations, the interest on this kind of stability of these integral equations is quite recent, see [3, 4, 7, 8, 11]. 2.1. On the existence of the solution of ... See full document
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Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions
... The functional equation 1.1 was first solved by Kannappan 15. In fact, he proved that a function on a real vector space is a solution of 1.1 if and only if there exist a symmetric biadditive function B and an ... See full document
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Functional Inequalities Associated with Jordan von Neumann Type Additive Functional Equations
... G˘avrut¸a [10] provided a further generalization of Rassias’ theorem. During the last two decades, a number of papers and research monographs have been published on vari- ous generalizations and applications of the ... See full document
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Isomorphisms in unital $C^*$-algebras
... The rest of the proof is the same as in the proofs of Theorems 2.1 and 2.4. 3. On the Mazur-Ulam theorem in modules over C ∗ -algebras Surjective isometries between normed vector spaces have been investigated by ... See full document
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Hyers Ulam stability of functional equations in matrix normed spaces
... for linear spaces of bounded Hilbert space operators in terms of matricially normed spaces [] implies that quotients, mapping spaces and various tensor products of operator spaces may again be regarded as ... See full document
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Fuzzy Stability of Generalized Square Root Functional Equation in Several Variables: A Fixed Point Approach
... of stability theory of functional equations for the proof of new fixed point theorems with ...the stability problems of several functional equations have been extensively investigated by a number of authors ... See full document
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Generalized Ulam-Hyers Stability of the Harmonic Mean Functional Equation in Two Variables
... The stability phenomenon that was presented by ...the generalized Hyers- Ulam ...D.H. Hyers and proved the following theorem using weaker conditions controlled by a product of powers of ... See full document
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10. Generalized Hyers-Ulam stability of a 2-variable reciprocal functional equation
... Taking 𝐹 (𝑥, 𝑥) = 𝑓 (𝑥), 𝑅(𝑥, 𝑥) = 𝑟(𝑥) (where 𝑓 and 𝑟 are reciprocal functions) in (5.7) and (5.8), we obtain the inequalities (3.1) and (3.2) respectively in [4]. Result 5.4. The stability result obtained in ... See full document
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A Fixed Point Approach to the Stability of a Volterra Integral Equation
... Theorem 3.1. Given a ∈ R and r > 0, let I(a;r) denote a closed interval { x ∈ R | a − r ≤ x ≤ a + r } and let f : I(a;r) × C → C be a continuous function which satisfies a Lipschitz condition (2.1) for all x ∈ ... See full document
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