nonlinear second order differential equations solutions

... 905769, 28 pages doi:10.1155/2009/905769 Research Article Limit Properties of Solutions of Singular Second- Order Differential Equations Irena Rach ˚ unkov ´ a, 1 Svatoslav Stan ek, 1 Ewa Weinm ă uller, 2 and ... investigating the solvability of nonlinear singular equations subject to different types of boundary conditions. In this section, we utilize Theorem 4.1 to show the existence of solutions for periodic problems. ... 5.44-5.1a with a  1. Tab le 1 : Estimated convergence order for the periodic boundary value problem 5.43-5.1a and a  1. i Error estimate Conv. order 1 5.042446e–003 — 2 2.850171e–003 0.823075 3...

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... 959636, 21 pages doi:10.1155/2009/959636 Research Article Homoclinic Solutions of Singular Nonautonomous Second- Order Differential Equations Irena Rach ˚ unkov ´ aandJanTome ˇ cek Department of Mathematical ... and second order differential equations with a singularity of the first kind,” Analysis, vol. 21, no. 4, pp. 373–389, 2001. 7 D. Bonheure, J. M. Gomes, and L. Sanchez, “Positive solutions of a second- order ... solutions for semilinear problems in R N ,” Indiana University Mathematics Journal, vol. 30, no. 1, pp. 141–157, 1981. 10 L. Maatoug, “On the existence of positive solutions of a singular nonlinear...

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... lower and upper solutions. The first result ensures the existence of maximal and minimal solutions, and the second one establishes the existence of the greatest and the least solutions in a particular ... and full text (HTML) versions will be made available soon. Minimal and maximal solutions to first -order differential equations with state-dependent deviated arguments Boundary Value Problems 2012, ... rodrigo.lopez@usc.es Abstract We prove some new results on existence of solutions to first -order ordinary differential equations with deviated arguments. Delay differential equations are included in our general framework,...

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... multiplicity of solutions for p(x)-Laplacian equations in ℝ N . Nonlinear Anal. 59, 173–188 (2004) 19. Rabinowitz, PH: Minimax methods in critical point theory with applications to differential equations. ... methods when we solve super- linear differential equations such as elliptic problems, Dirac equations, Hamiltonian systems, wave equations, and Schrödinger equations. Theorem 3.2. Assume that ... Three solutions for a Neumann-type differential inclusion problem involving the p(x)-Laplacian. Nonlinear Anal. 70, 3755–3760 (2009). doi:10.1016/j.na.2008.07.031 4. Dai, G: Infinitely many solutions...

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... problem for non-linear differential equations of fractional order. Nonlinear Anal 2011, 74:792-804. 34. Zhang L, Wang G: Existence of solutions for nonlinear fractional differential equations with impulses ... Walter W: On some nonlinear ordinary differential equations with advanced arguments. Nonlinear Anal 2003, 53:495-505. 40. Yan JR: Oscillation of first -order impulsive differential equations with ... Positive solutions of the three-point boundary value problem for second order differential equations with an advanced argument. Nonlinear Anal 2006, 65:2013-2023. 42. Jankowski T: Positive solutions...

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... Corporation Advances in Difference Equations Volume 2010, Article ID 673761, 16 pages doi:10.1155/2010/673761 Research Article Regularly Varying Solutions of Second- Order Difference Equations with Arbitrary ... sequences and second order difference equations, ” Journal of Difference Equations and Applications, vol. 14, no. 1, pp. 17–30, 2008. 7 J. Jaro ˇ s and T. Kusano, “Self-adjoint differential equations ... nonoscillation criteria for second order linear difference equations, ” Fasciculi Mathematici, no. 31, pp. 71–89, 2001. 9 M. Cecchi, Z. Do ˇ sl ´ a, and M. Marini, “Positive decreasing solutions of quasi-linear...

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... “Periodic solutions of second order non-autonomous singular dynamical systems,” Journal of Differential Equations, vol. 239, no. 1, pp. 196–212, 2007. 4 D. Franco and P. J. Torres, “Periodic solutions ... 626054, 18 pages doi:10.1155/2010/626054 Research Article Existence of Positive Solutions of Nonlinear Second- Order Periodic Boundary Value Problems Ruyun Ma, Chenghua Gao, and Ruipeng Chen Department ... periodic solutions to superlinear repulsive singular equations, ” Journal of Differential Equations, vol. 211, no. 2, pp. 282–302, 2005. 6 P. J. Torres, “Weak singularities may help periodic solutions...

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... Corporation Advances in Difference Equations Volume 2010, Article ID 691721, 10 pages doi:10.1155/2010/691721 Research Article Existence of Solutions for Nonlinear Fractional Integro -Differential Equations with ... 2008.  13 B. Ahmad and J. J. Nieto, “Existence of solutions for nonlocal boundary value problems of higher- order nonlinear fractional differential equations, ” Abstract and Applied Analysis, vol. ... Conclusions This paper studies the existence and uniqueness of solutions for nonlinear integro-differential equations of fractional order q ∈ 1, 2 with three-point nonlocal fractional boundary conditions...

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... three-point second- order integrodifferential boundary value problems with p-Laplacian,” Boundary Value Problems, vol. 2007, Article ID 57481, 9 pages, 2007. 7 D. R. Anderson, Solutions to second- order ... Gatica, V. Oliker, and P. Waltman, “Singular nonlinear boundary value problems for second- order ordinary differential equations, ” Journal of Differential Equations, vol. 79, no. 1, pp. 62–78, 1989. 15 ... 937064, 19 pages doi:10.1155/2009/937064 Research Article Positive Solutions to Singular and Delay Higher -Order Differential Equations on Time Scales Liang-Gen Hu, 1 Ti-Jun Xiao, 2 and Jin Liang 3 1 Department...

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... certain higher -order differential equations. Appl. Math. Comput. 134(2–3), 307–317 (2003) [17] Cakmak, D: Lyapunov-type integral inequalities for certain higher order differential equations. Appl. ... for differential and difference equations. Fasc. Math. 23, 25–41 (1991) [4] He, Z: Existence of two solutions of m-point boundary value problem for second dy- namic equations on time scales. J. ... (HTML) versions will be made available soon. Lyapunov-type inequalities for a class of even -order differential equations Journal of Inequalities and Applications 2012, 2012:5 doi:10.1186/1029-242X-2012-5 Qi-Ming...

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... problem for second- order nonlinear singular differential equations. Georgian Math J. 7(1), 133–154 (2000) 25. Feng, W, Webb, JRL: Solvability of m-point boundary value problems with nonlinear growth. ... boundary value problems for nonlinear differential equations. In: Fitzpertrick PM, Martelli M, Manhin J, Nussbaum R (eds.) Topological Method for Ordinary Differential Equations. Lecture Notes in Mathematics, ... doi:10.1080/10236190701840906 17. Guo, Y, Ji, Y, Liu, X: Multiple solutions for second- order three-point boundary value problems with p-Laplacian operator. Nonlinear Anal. 71, 3517–3529 (2009). doi:10.1016/j.na.2009.02.015 18....

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