
Using the alternative method we present sufficient conditions for the existence of positive solutions to nonlinear equations at resonance and extend a well-known result of Cesari and Kannan.
Nonlinear boundary value problems for ordinary differential equations, Boundary value problems for higher-order elliptic equations, resonance, Equations involving nonlinear operators (general), linear operator with nontrivial kernel, Nonlinear oscillations and coupled oscillators for ordinary differential equations, continuous (nonlinear) operator, alternative method, cone of a Banach space, Boundary value problems for nonlinear higher-order PDEs
Nonlinear boundary value problems for ordinary differential equations, Boundary value problems for higher-order elliptic equations, resonance, Equations involving nonlinear operators (general), linear operator with nontrivial kernel, Nonlinear oscillations and coupled oscillators for ordinary differential equations, continuous (nonlinear) operator, alternative method, cone of a Banach space, Boundary value problems for nonlinear higher-order PDEs
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