On Monotonic Integrable Solutions for Quadratic Functional Integral Equations
نویسندگان
چکیده
منابع مشابه
On Monotonic Solutions of Some Integral Equations
Integral equations arise naturally in applications of real world problems [5, 6, 7, 8]. The theory of integral equations has been well developed with the help of various tools from functional analysis, topology and fixed-point theory. The classical theory of integral equations can be generalized if one uses the Stieltjes integral with kernels dependent on one or two variables. The aim of this p...
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in this paper, we solve the quadratic $alpha$-functional equations $2f(x) + 2f(y) = f(x + y) + alpha^{-2}f(alpha(x-y)); (0.1)$ where $alpha$ is a fixed non-archimedean number with $alpha^{-2}neq 3$. using the fixed point method and the direct method, we prove the hyers-ulam stability of the quadratic $alpha$-functional equation (0.1) in non-archimedean banach spaces.
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Nonlinear quadratic functional integral equations are often applicable for instance in the theory of radiative transfer, kinetic theory of gases, in the theory of neutron transport, in traffic theory and in numerous branches of mathematical physics (cf. [3, 7, 10, 11]). Additionally, some problems (motivated by some practical interests in plasma physics) was investigated in [28]. It is worthwhi...
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ژورنال
عنوان ژورنال: Mediterranean Journal of Mathematics
سال: 2012
ISSN: 1660-5446,1660-5454
DOI: 10.1007/s00009-012-0218-0