6533b85bfe1ef96bd12bab15

RESEARCH PRODUCT

Stability of stationary solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions

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for some x in [0, rr]. The guiding idea of this paper is to observe the changes in the stability behavior of the solutions if we perturb the autonomous problem intro- ducing a forcing term g. In [8] it was shown that iff and g are related by a boundedness condi- tion (see condition (* ) in Theorem 3.1) then there exists a stable solution of (1.1) “close” to each stable solution of (1.2). We want to call these stable solutions of (1.1)