Existence and analytic approximation of solutions of Duffing type nonlinear integro-differential equation with integral boundary conditions.

Alsaedi, Ahmed; Ahmad, Bashir

Displaying similar documents to “Existence and analytic approximation of solutions of Duffing type nonlinear integro-differential equation with integral boundary conditions.”

Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions.

Sun, Li, Zhou, Mingru, Wang, Guangwa (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Similarity:

Generalized quasilinearization method and higher order of convergence for second-order boundary value problems.

Melton, Tanya G., Vatsala, A.S. (2006)

Boundary Value Problems [electronic only]

Similarity:

Existence of positive solutions for multiterm fractional differential equations of finite delay with polynomial coefficients.

Babakhani, A., Enteghami, E. (2009)

Abstract and Applied Analysis

Similarity:

An approximation approach to eigenvalue intervals for singular boundary value problems with sign changing and superlinear nonlinearities.

Lü, Haishen, Agarwal, Ravi P., O'Regan, Donal (2009)

Boundary Value Problems [electronic only]

Similarity:

Fractional BVPs with strong time singularities and the limit properties of their solutions

Svatoslav Staněk (2014)

Open Mathematics

Similarity:

In the first part, we investigate the singular BVP ${\frac{d}{d t}}^{c} D^{α} u + {(a / t)}^{c} D^{α} u = ℋ u$ , u(0) = A, u(1) = B, c D α u(t)|t=0 = 0, where $ℋ$ is a continuous operator, α ∈ (0, 1) and a < 0. Here, c D denotes the Caputo fractional derivative. The existence result is proved by the Leray-Schauder nonlinear alternative. The second part establishes the relations between solutions of the sequence of problems ${\frac{d}{d t}}^{c} D^{α_{n}} u + {(a / t)}^{c} D^{α_{n}} u = f (t, u,^{c} D^{β_{n}} u)$ , u(0) = A, u(1) = B, ${^{c} D^{α_{n}} u (t)|}_{t = 0} = 0$ where a < 0, 0 < β n ≤ α n < 1, limn→∞ β n = 1, and solutions of u″+(a/t)u′ = f(t,...

On some BK spaces.

De Malafosse, Bruno (2003)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Periodic boundary value problems for second-order functional differential equations.

Fu, Xiangling, Wang, Weibing (2010)

Journal of Inequalities and Applications [electronic only]

Similarity:

Radial solutions for a nonlocal boundary value problem.

Enguiça, Ricardo, Sanchez, Luís (2006)

Boundary Value Problems [electronic only]

Similarity:

An extended method of quasilinearization for nonlinear impulsive differential equations with a nonlinear three-point boundary condition.

Ahmad, Bashir, Alsaedi, Ahmed (2007)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Similarity:

Calculations on some sequence spaces.

De Malafosse, Bruno (2004)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Existence to singular boundary value problems with sign changing nonlinearities using an approximation method approach

Haishen Lü, Donal O&#039;Regan, Ravi P. Agarwal (2007)

Applications of Mathematics

Similarity:

This paper studies the existence of solutions to the singular boundary value problem $\}\begin{matrix} - u^{''} = g (t, u) + h (t, u), t \in (0, 1), u (0) = 0 = u (1), \end{matrix}$ where $g (0, 1) \times (0, \infty) \to ℝ$ and $h (0, 1) \times [0, \infty) \to [0, \infty)$ are continuous. So our nonlinearity may be singular at $t = 0, 1$ and $u = 0$ and, moreover, may change sign. The approach is based on an approximation method together with the theory of upper and lower solutions.