Half-linear equations and characteristic properties of the principal solution
Copyright policy )Half-linear equations and characteristic properties of the principal solution
The authors study the characteristic properties of the principal solution for the half-linear differential equation \[ (a(t)\Phi(x'))'+b(t)\Phi(x)=0. \] Using the reciprocity principle, it is shown that the solutions of the considered equation have properties similar to those of linear equations. Moreover, the integral characterizations of the principal solutions are presented.
- University of Florence Italy
- Masaryk University Czech Republic
principal solution, Half-linear differential equation, Limit characterization, Reciprocity principle, reciprocity principle, half-linear differential equation, principal solution, limit characterization, integral characterization, reciprocity principle, half-linear differential equation, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Integral characterization, Analysis, Principal solution
principal solution, Half-linear differential equation, Limit characterization, Reciprocity principle, reciprocity principle, half-linear differential equation, principal solution, limit characterization, integral characterization, reciprocity principle, half-linear differential equation, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Integral characterization, Analysis, Principal solution
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