Electronic journal of qualitative theory of differential equations · 2006 · 28 citations · 7 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsOcean WavesBoundary ConditionsBoundary-value ProblemsEigenvalue ProblemsExistence TheoryInitial Value ProblemsPartial Differential EquationsBoundary ProblemBoundary Value Eigenvalue ProblemsEigenvalue Boundary-value ProblemsElliptic Boundary-value ProblemsInitial-boundary Value ProblemsNonlinear Boundary-value ProblemsOpen Boundary ProblemWeak Solutions
In this work, we are concerned with a boundary value problem associated with a generalized Fisher-like equation. This equation involves an eigenvalue and a parameter which may be viewed as a wave speed. According to the behavior of the nonlinear source term, existence results of bounded solutions, positive solutions, classical as well as weak solutions are provided. We mainly use fixed point arguments. 1
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Topological Methods in the Theory of Nonlinear Integral Equations.
E. H. Rothe, M. A. Krasnosel’skii, A. H. Armstrong et al. · American Mathematical Monthly · 1968 · 2K citations