On One Class of Multipoint Boundary-Value Problems for a Second-Order Linear Functional-Differential Equation
Article
First Online:
- 13 Downloads
Abstract
We state solvability conditions for a multipoint boundary-value problem for linear second-order functional-differential equation.
Keywords and phrases
linear functional-differential equation multipoint problem resonanceAMS Subject Classification
34B10 34G10Preview
Unable to display preview. Download preview PDF.
References
- 1.A. R. Abdullaev and A. B. Burmistrova, “Generalized Green’s operator and the solvability of resonance problems,” Differ. Uravn., 26, No. 11, 1860–1864 (1990).MathSciNetMATHGoogle Scholar
- 2.A. R. Abdullaev and E. A. Skachkova, “Periodic boundary-value problem for a fourth-order differential equation,” Izv. Vyssh. Ucheb. Zaved. Ser. Mat., 12, 3–10 (2013).MathSciNetMATHGoogle Scholar
- 3.A. R. Abdullaev and E. A. Skachkova, “On a multipoint boundary-value problem for a second-order differential equation,” Vestn. Perm. Univ. Ser. Mat. Mekh. Inf. Vestn. Perm. Univ. Ser. Mat. Mekh. Inf., , 2 (25), 5–9 (2014).Google Scholar
- 4.A. M. Samoilenko, A. A. Boychuk, and V. F. Zhuravlev, “Linear boundary-value problems for normally solvable operator equations in Banach spaces,” Differ. Uravn., 50, No. 3, 317–326 (2014).MathSciNetGoogle Scholar
- 5.W. Feng and J. R. L. Webb, “Solvability of m-point boundary-value problems with nonlinear growth,” J. Math. Anal. Appl., 212, 467–480 (1997).MathSciNetCrossRefMATHGoogle Scholar
- 6.C. P. Gupta, “Solvability of a multi-point boundary-value problem at resonance,” Res. Math., 28, 270–276 (1995).MathSciNetCrossRefMATHGoogle Scholar
- 7.B. Liu, “Solvability of multi-point boundary-value problems at resonance, I, ” Indian J. Pure Appl. Math., 33, No. 4, 475–494 (2002).MathSciNetMATHGoogle Scholar
- 8.B. Przeradzki and R. Stanczy, “Solvability of a multi-point boundary-value problem at resonance,” J. Math. Anal. Appl., 264, 253–261 (2001).MathSciNetCrossRefMATHGoogle Scholar
Copyright information
© Springer Science+Business Media, LLC, part of Springer Nature 2018