Equation of Mixed Type
Fixed point theorems in locally convex spaces and a nonlinear integral equation of mixed type
... In this paper, we provide a new approach for discussing the solvability of a class of operator equations by establishing fixed point theorems in locally convex spaces. Our results are obtained extend some Krasnosel’skii ...
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NONLOCAL PROBLEM FOR A MIXED TYPE FOURTH-ORDER DIFFERENTIAL EQUATION WITH HILFER FRACTIONAL OPERATOR
... differential equation of mixed type with Hilfer operator of fractional integro-differentiation in a positive rectangular domain and with spectral parameter in a negative rectangular ...The ...
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Mixed problem with nonlocal boundary conditions for a third order partial differential equation of mixed type
... Abstract. We study a mixed problem with integral boundary conditions for a third-order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The ...
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Fuzzy stability of a mixed type functional equation
... f (x + y + z) − f (x + y) − f (y + z) − f (x + z) + f (x) + f (y) + f (z) = 0. (1:3) which is called a mixed type functional equation. We say a solution of (1.3) a quad- ratic-additive mapping. In ...
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Index Terms Helmholtz equation, Non-local operator, DtN mapping, Artificial boundary condition, Mixed-type method.
... Helmholtz equation in two dimension by the finite element ...a mixed type approximation method to implement the exact Dirichlet to Neumann (DtN) boundary condition that directly gives an ...
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Ulam - Hyers stability of a 2- variable AC - mixed type functional equation in quasi - beta normed spaces: direct and fixed point methods
... [1] J. Aczel and J. Dhombres, Functional Equations in Several Variables, Cambridge University Press, 1989. [2] T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan, 2(1950), 64-66. ...
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Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation
... functional equation (1.5). Inter- esting new results concerning mixed functional equations has recently been obtained by Najati ...a mixed type of additive and quadratic functional ...
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A problem with conditions given on inner characteristics and on the line of degeneracy for a mixed-type equation with singular coefficients
... Boundary value problems for the wave equation and equations of mixed type were in- vestigated in []. In the work [] the general Tricomi-Rassias problem was investigated for the generalized ...
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On the Probabilistic Stability of the 2-variable $k$-AC-mixed Type Functional Equation
... [2] T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan, 2 (1950), 64–66.1 [3] M. Arun Kumar, Matina J. Rassias, Yanhui Zhang, Ulam-Hyers stability of a 2-variable AC-mixed ...
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A non local problem with discontinuous matching condition for loaded mixed type equation involving the Caputo fractional derivative
... loaded equation. Considering parabolic-hyperbolic type equations involves the Caputo fractional derivative and loaded part joins in Riemann-Liouville ...
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Stability of a Mixed Type Functional Equation on Multi-Banach Spaces: A Fixed Point Approach
... Baker 21 was the first author who applied the fixed-point method in the study of Hyers-Ulam stability see also 22 . In 2003, Cadariu and Radu applied the fixed-point method to the investigation of the Jensen functional ...
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On the stability of a mixed type functional equation in generalized functions
... Hyers ’ result to the unbounded Cauchy difference. After that stability problems of var- ious functional equations have been extensively studied and generalized by a number of authors (see [4-7]). Among them, Towanlong ...
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On the stability of a mixed type quadratic additive functional equation
... and proved that a function on a real vector space is a solution of (.) if and only if there exist a symmetric biadditive function B and an additive function A such that f (x) = B(x, x) + A(x). In addition, Jung [] ...
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Solution and Stability of a Mixed Type Additive, Quadratic, and Cubic Functional Equation
... solutions. Thus, it has been called quadratic functional equation, and each of its solutions is said to be a quadratic function. Hyers-Ulam-Rassias stability for the quadratic functional equation 1.3 was ...
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Stability of a mixed type cubic and quartic functional equation in fuzzy Banach spaces
... function equation and they established the solution of Hyers- Ulam-Rassias stability for the functional equation ...this equation is called the cubic function equation, if the cubic function f ...
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Existence and uniqueness for some equation of a mixed elliptic-hyperbolic type
... for mixed-type equations, the literature essentially contains only two results on ...Tricomi equation, and the second due to Pilant [15] con- cerns the natural analogue of the Neumann problem ...
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A fixed point approach to the non-Archimedean random stability of generalized mixed type AQCQ-functional equations
... is called a cubic functional equation, because the cubic function f (x) = cx 3 is a solution of the equation (1.3). The general solution and the generalized Hyers-Ulam-Rassias stability for the functional ...
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On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi Banach Spaces
... functional equation 1.5, which is called a quartic functional equation see also ...a mixed type of quartic and quadratic functional equation between two real linear Banach ...a ...
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Intuitionistic fuzzy stability of a quadratic and quartic functional equation
... concerning mixed functional equations have recently been obtained by Najati ...a mixed type of additive and quadratic functional equation by Park ...
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Stability of 2-Variable Additive-Quadratic-Cubic-Quartic Functional Equation Using Fixed Point Method
... of mixed type functional equations have been extensively investigated by a number of math- ematicians in referenes (see [3–5, 14–22, 28–31, 33–38, 43, 48, ...
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