A new approach for solving nonlinear BVP's on the half-line for second order equations and applications
Mathematica Bohemica (2015)
- Volume: 140, Issue: 2, page 153-169
- ISSN: 0862-7959
Access Full Article
topAbstract
topHow to cite
topReferences
top- Andres, J., Górniewicz, L., Topological Fixed Point Principles for Boundary Value Problems, Topological Fixed Point Theory and Its Applications 1 Kluwer Academic Publishers, Dordrecht (2003). (2003) Zbl1029.55002MR1998968
- Cecchi, M., Došlá, Z., Marini, M., Principal solutions and minimal sets of quasilinear differential equations, Dyn. Syst. Appl. 13 (2004), 221-232. (2004) Zbl1123.34026MR2140874
- Chanturiya, T. A., Monotone solutions of a system of nonlinear differential equations, Ann. Pol. Math. 37 Russian (1980), 59-70. (1980) MR0574996
- Coppel, W. A., Stability and Asymptotic Behavior of Differential Equations, D. C. Heath and Company VIII Boston (1965). (1965) Zbl0154.09301MR0190463
- Došlá, Z., Marini, M., Matucci, S., Positive solutions of nonlocal continuous second order BVP's, Dyn. Syst. Appl. 23 (2014), 431-446. (2014) Zbl1312.34057MR3241888
- Došlá, Z., Marini, M., Matucci, S., On some boundary value problems for second order nonlinear differential equations, Math. Bohem. 137 (2012), 113-122. (2012) Zbl1265.34113MR2978257
- Došlá, Z., Marini, M., Matucci, S., A boundary value problem on a half-line for differential equations with indefinite weight, Commun. Appl. Anal. 15 (2011), 341-352. (2011) Zbl1244.34045MR2867356
- Došlý, O., Řehák, P., Half-Linear Differential Equations, North-Holland Mathematics Studies 202 Elsevier, Amsterdam (2005). (2005) Zbl1090.34001MR2158903
- Elbert, Á., Kusano, T., Principal solutions of non-oscillatory half-linear differential equations, Adv. Math. Sci. Appl. 8 (1998), 745-759. (1998) Zbl0914.34031MR1657164
- Erbe, L. H., Wang, H., 10.1090/S0002-9939-1994-1204373-9, Proc. Am. Math. Soc. 120 (1994), 743-748. (1994) Zbl0802.34018MR1204373DOI10.1090/S0002-9939-1994-1204373-9
- Franco, D., Infante, G., Perán, J., 10.1017/S0308210511001016, Proc. R. Soc. Edinb., Sect. A, Math. 142 (2012), 1043-1050. (2012) Zbl1264.47059MR2981023DOI10.1017/S0308210511001016
- Gaudenzi, M., Habets, P., Zanolin, F., An example of a superlinear problem with multiple positive solutions, Atti Semin. Mat. Fis. Univ. Modena 51 (2003), 259-272. (2003) Zbl1221.34057MR2045073
- Hartman, P., Ordinary Differential Equations, Birkhäuser, Boston (1982). (1982) Zbl0476.34002MR0658490
- Kiguradze, I., Půža, B., Boundary Value Problems for Systems of Linear Functional Differential Equations, Folia Fac. Sci. Natur. Univ. Masaryk. Brun. Math. 12 Masaryk University, Brno (2003). (2003) Zbl1161.34300MR2001509
- Marini, M., Matucci, S., A boundary value problem on the half-line for superlinear differential equations with changing sign weight, Rend. Ist. Mat. Univ. Trieste 44 (2012), 117-132. (2012) Zbl1269.34027MR3019556
- Mirzov, J. D., Asymptotic Properties of Solutions of Systems of Nonlinear Nonautonomous Ordinary Differential Equations, Folia Fac. Sci. Natur. Univ. Masaryk. Brun. Math. 14 Masaryk University, Brno (2004). (2004) Zbl1154.34300MR2144761
- Motreanu, D., Rădulescu, V., 10.1007/978-1-4757-6921-0_5, Nonconvex Optimization and Its Applications 67 Kluwer Academic Publishers, Dordrecht (2003). (2003) Zbl1040.49001MR1985870DOI10.1007/978-1-4757-6921-0_5
- Powers, D. L., Boundary Value Problems and Partial Differential Equations, Elsevier/Academic Press, Amsterdam (2010). (2010) Zbl1187.35001MR2584516
- Wang, J., 10.1090/S0002-9939-97-04148-8, Proc. Am. Math. Soc. 125 (1997), 2275-2283. (1997) Zbl0884.34032MR1423340DOI10.1090/S0002-9939-97-04148-8