As an application of the Schauder Fixed Point Theorem, an existence theory is developed for second order nonlinear differential equations with Stieltjes derivative related to a left-continuous, nondecreasing function. By the method of lower and upper solutions, under a Nagumo-type assumption we get a very general result which can be further applied to deduce the existence of solutions for second order nonlinear problems in the settings of impulsive differential equations, time scale analysis or generalized differential equations.

Marraffa V., Satco B. (2025). The method of lower and upper solutions for second order periodic Stieltjes differential equations. JP JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 27(1) [10.1007/s11784-025-01162-x].

The method of lower and upper solutions for second order periodic Stieltjes differential equations

Marraffa V.;
2025-01-01

Abstract

As an application of the Schauder Fixed Point Theorem, an existence theory is developed for second order nonlinear differential equations with Stieltjes derivative related to a left-continuous, nondecreasing function. By the method of lower and upper solutions, under a Nagumo-type assumption we get a very general result which can be further applied to deduce the existence of solutions for second order nonlinear problems in the settings of impulsive differential equations, time scale analysis or generalized differential equations.
2025
Settore MATH-03/A - Analisi matematica
Marraffa V., Satco B. (2025). The method of lower and upper solutions for second order periodic Stieltjes differential equations. JP JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 27(1) [10.1007/s11784-025-01162-x].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/673028
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