Explicit bounds on some nonlinear retarded integral inequalities.
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This paper deals with the generalized nonlinear third-order left focal problem at resonance where the nonlinear term is a Carathéodory function and contains explicitly the first and second-order derivatives of the unknown function. The boundary conditions that we study are quite general, involve a linearity and include, as particular cases, Sturm-Liouville boundary conditions. Under certain growth conditions on the nonlinearity, we establish the existence of the nontrivial solutions...
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