참고문헌
- K. Deimling, Nonlinear Functional Analysis, Springer-Verlag, Berlin, 1985
-
M. Del Pino, M. Elgueta, and R. Manasevich, A homotopic deformation along p of a Leray-Schauder degree result and existence for (
$u'^{p-2}{u'}$ )′+f(t, u) = 0, u(0) = u(T) = 0, p > 1, J. Differential Equations 80 (1989), no. 1, 1-13 https://doi.org/10.1016/0022-0396(89)90093-4 - M. Garcıa-Huidobro, C. P. Gupta, and R. Manasevich, Solvability for a nonlinear threepoint boundary value problem with p-Laplacian-like operator at resonance, Abstr. Appl. Anal. 6 (2001), no. 4, 191-213 https://doi.org/10.1155/S1085337501000550
- A. Granas, R. B. Guenther, and J. W. Lee, Some general existence principles in the Caratheodory theory of nonlinear differential systems, J. Math. Pures Appl. (9) 70 (1991), no. 2, 153-196
- D. Jiang and W. Gao, Upper and lower solution method and a singular boundary value problem for the one-dimensional p-Laplacian, J. Math. Anal. Appl. 252 (2000), no. 2, 631-648 https://doi.org/10.1006/jmaa.2000.7012
- D. Jiang and J. Wang, A generalized periodic boundary value problem for the onedimensional p-Laplacian, Ann. Polon. Math. 65 (1997), no. 3, 265-270 https://doi.org/10.4064/ap-65-3-265-270
- L. Lian and W. Ge, The existence of solutions of m-point p-Laplacian boundary value problems at resonance, Acta Math. Appl. Sin. 28 (2005), no. 2, 288-295
- B. Liu and J. Yu, Existence of solutions for the periodic boundary value problems with p-Laplacian operator, J. Systems Sci. Math. Sci. 23 (2003), no. 1, 76-85
- R. Manasevich and J. Mawhin, Periodic solutions for nonlinear systems with p- Laplacian-like operators, J. Differential Equations 145 (1998), no. 2, 367-393 https://doi.org/10.1006/jdeq.1998.3425
-
D. O'regan, Some general existence principles and results for (
$\phi$ (y′))′ = qf(t, y, y′), 0 < t < 1, SIAM J. Math. Anal. 24 (1993), no. 3, 648-668 https://doi.org/10.1137/0524040 - I. Rachunkova, Upper and lower solutions and topological degree, J. Math. Anal. Appl. 234 (1999), no. 1, 311-327 https://doi.org/10.1006/jmaa.1999.6375
- I. Rachunkova, Upper and lower solutions and multiplicity results, J. Math. Anal. Appl. 246 (2000), no. 2, 446-464 https://doi.org/10.1006/jmaa.2000.6798
- X. Yang, Multiple positive solutions of second-order differential equations, Nonlinear Anal. 62 (2005), no. 1, 107-116 https://doi.org/10.1016/j.na.2005.03.013
피인용 문헌
- Existence of Solutions of Fractional Differential Equation withp-Laplacian Operator at Resonance vol.2014, 2014, https://doi.org/10.1155/2014/809637
- Existence of solutions of two-point boundary value problems for fractional p-Laplace differential equations at resonance vol.41, pp.1-2, 2013, https://doi.org/10.1007/s12190-012-0598-0
- Solvability of Some Boundary Value Problems for Fractional -Laplacian Equation vol.2013, 2013, https://doi.org/10.1155/2013/432509
- Antiperiodic Solutions for Liénard-Type Differential Equation with -Laplacian Operator vol.2010, pp.1, 2010, https://doi.org/10.1155/2010/194824
- Existence criterion for the solutions of fractional order p-Laplacian boundary value problems vol.2015, pp.1, 2015, https://doi.org/10.1186/s13661-015-0425-2
- A boundary value problem for fractional differential equation with -Laplacian operator at resonance vol.75, pp.6, 2012, https://doi.org/10.1016/j.na.2011.12.020
- Solvability of fractional boundary value problems with p-Laplacian operator vol.2015, pp.1, 2015, https://doi.org/10.1186/s13662-015-0648-7
- On the periodic boundary value problem for Duffing type fractional differential equation with p-Laplacian operator vol.2015, pp.1, 2015, https://doi.org/10.1186/s13661-015-0408-3
- Some existence results on boundary value problems for fractional p-Laplacian equation at resonance vol.2016, pp.1, 2016, https://doi.org/10.1186/s13661-016-0566-y
- Multiple solutions of boundary value problems with ϕ-Laplacian operators and under a Wintner-Nagumo growth condition vol.2013, pp.1, 2013, https://doi.org/10.1186/1687-2770-2013-236
- Positive Solutions to Fractional Boundary Value Problems with Nonlinear Boundary Conditions vol.2013, 2013, https://doi.org/10.1155/2013/579740
- Solvability of periodic boundary value problem for fractional p-Laplacian equation vol.244, 2014, https://doi.org/10.1016/j.amc.2014.06.105
- Existence of positive solutions for fractional differential systems with multi point boundary conditions vol.59, pp.2, 2013, https://doi.org/10.1007/s11565-012-0160-x
- Triple positive solutions for a class of two-point boundary-value problems. A fundamental approach vol.189, pp.5, 2013, https://doi.org/10.1007/s10958-013-1222-z