Differential Equations · 2011 · 32 citations · 3 references
EngineeringMechanical EngineeringHeat TransferThermal AnalysisThermodynamicsBoundary ConditionsBoundary-value ProblemsHeat Transfer AnalysisMoving Boundary ProblemsOperator TheoryThermal Boundary LayersBoundary Condition AnalysisHeat Transfer Boundary ConditionsLoad-line AnalysisMultipoint Boundary Value ProblemsOpen Boundary ProblemParabolic Boundary-value ProblemsSturm - Liouville TheorySturm-liouville Theory
We continue the study of boundary value problems for spectrally loaded heat equations in unbounded domains for the case in which the order of the derivative in the loaded term coincides with that of the differential part of the equation and the motion of the load point with respect to the space variable is given by the law -x(t) = t ω , −∞ < ω < 1/2.
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A Nonlinear Loaded Parabolic Equation and a Related Inverse Problem
Mathematical Notes · 2004 · 49 citations
Loaded Equations with Periodic Boundary Conditions
Differential Equations · 2001 · 21 citations