On the stability of the positive radial steady states for a semilinear Cauchy problem Original Research Article

This paper is contributed to the Cauchy problem equation(0.1) View the MathML source with initial function ϕ≢0. The stability and instability of the positive radial steady states, which are positive solutions of equation(0.2) View the MathML source has been discussed with different assumption on K(|x|) and ϕ under the norm equation(0.3) View the MathML source where ϕ and ψ are some nonnegative continuous functions in View the MathML source, and λ is a real number.