Add to ORKGy 1 – x = f (y) + (1 – y)f x 1 – y Basic equation of information theory. Here, x, y, x + y can assume values from zero to one
AbstractIn this article, we present the most general solution of the functional equationsf(xy)+f((1−...
This is a second-order linear homogeneous difference equation defined on a discrete set of points x ...
This treatise deals with modern theory of functional equations in several variables and their applic...
8. f (x) + g(y) = h(x + y). Pexider’s equation. Here, the functions f (x), g(y), and h(z) are unkno...
12. f (ax, ay) = aβf (x, y). Homogeneity equation. Here, a is an arbitrary number (a ≠ 0) and β is ...
2. y(x + 1) – ay(x) = f (x). First-order constant-coefficient linear nonhomogeneous difference equ...
nth-order constant-coefficient linear nonhomogeneous difference equation. 1◦. Solution: y(x) = Y (x...
Second-order constant-coefficient linear nonhomogeneous difference equation. 1◦. Solution: y(x) = Y...
This is an mth-order linear homogeneous difference equation defined on a discrete set of points x = ...
AbstractWe consider the linear independence of the values of solutions of certain functional equatio...
This is an mth-order linear nonhomogeneous difference equation defined on a discrete set of points x...
13. f1(x)g1(y) + f2(x)g2(y) + f3(x)g3(y) + f4(x)g4(y) = 0. Bilinear functional equation- 2. Equatio...
A functional equation is an equation where the unknown is a function rather than a variable. It may ...
nth-order constant-coefficient linear homogeneous difference equation. Let us write out the characte...
Abstract. The general solutions of a sum form functional equation have been investigated. The releva...
AbstractIn this article, we present the most general solution of the functional equationsf(xy)+f((1−...
This is a second-order linear homogeneous difference equation defined on a discrete set of points x ...
This treatise deals with modern theory of functional equations in several variables and their applic...
8. f (x) + g(y) = h(x + y). Pexider’s equation. Here, the functions f (x), g(y), and h(z) are unkno...
12. f (ax, ay) = aβf (x, y). Homogeneity equation. Here, a is an arbitrary number (a ≠ 0) and β is ...
2. y(x + 1) – ay(x) = f (x). First-order constant-coefficient linear nonhomogeneous difference equ...
nth-order constant-coefficient linear nonhomogeneous difference equation. 1◦. Solution: y(x) = Y (x...
Second-order constant-coefficient linear nonhomogeneous difference equation. 1◦. Solution: y(x) = Y...
This is an mth-order linear homogeneous difference equation defined on a discrete set of points x = ...
AbstractWe consider the linear independence of the values of solutions of certain functional equatio...
This is an mth-order linear nonhomogeneous difference equation defined on a discrete set of points x...
13. f1(x)g1(y) + f2(x)g2(y) + f3(x)g3(y) + f4(x)g4(y) = 0. Bilinear functional equation- 2. Equatio...
A functional equation is an equation where the unknown is a function rather than a variable. It may ...
nth-order constant-coefficient linear homogeneous difference equation. Let us write out the characte...
Abstract. The general solutions of a sum form functional equation have been investigated. The releva...
AbstractIn this article, we present the most general solution of the functional equationsf(xy)+f((1−...
This is a second-order linear homogeneous difference equation defined on a discrete set of points x ...
This treatise deals with modern theory of functional equations in several variables and their applic...