query: How to find all the continuous functions satisfying an equation?
positive_passages.docid: 16338
positive_passages.text: 3rd iterate of a continuous function equals identity function
negative_passages.docid: 68165
negative_passages.text: Find a function $f: \mathbb{R} \to \mathbb{R}$ that is continuous at precisely one point?
negative_passages.docid: 113740
negative_passages.text: Find a uniformly continuous function such that $a_{n+1}=f(a_n)$
negative_passages.docid: 105497
negative_passages.text: A function satisfying a series equation
negative_passages.docid: 18222
negative_passages.text: Set of continuity points of a real function
negative_passages.docid: 31732
negative_passages.text: If the function $f$ satisfies the equation $f(xf(y)+x)=xy+f(x)$, find $f$
negative_passages.docid: 73519
negative_passages.text: Determine all functions satisfying $f(x + f(x + y)) + f(xy) = x + f(x + y) +yf(x)$
negative_passages.docid: 129599
negative_passages.text: Functional Equation: Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that $(x+y)(f(x)-f(y))=(x-y)f(x+y)$
negative_passages.docid: 41201
negative_passages.text: How prove there is no continuous functions $f:[0,1]\to \mathbb R$, such that $f(x)+f(x^2)=x$.
negative_passages.docid: 37976
negative_passages.text: Find all functions $f$ such that $(x+y)f(x)+f(y^2)=(x+y)f(y)+f(x^2)$
negative_passages.docid: 75448
negative_passages.text: Find all function satisfying $f(f(n))+f(n)=2n+3k$
negative_passages.docid: 11828
negative_passages.text: continuous functions on $\mathbb R$ such that $g(x+y)=g(x)g(y)$
negative_passages.docid: 50111
negative_passages.text: non-continuous function satisfies $f(x+y)=f(x)+f(y)$
negative_passages.docid: 34836
negative_passages.text: Composition of Absolutely Continuous Functions
negative_passages.docid: 12240
negative_passages.text: Problem with a continuous function
negative_passages.docid: 124535
negative_passages.text: continuous function from $[\pi,2\pi]\to \mathbb{R}^2$
negative_passages.docid: 2142
negative_passages.text: Finding a set of continuous functions with a certain property 2