Existence of approximate solutions of the forced Duffing equation with discontinuous type integral boundary conditions
From MaRDI portal
Publication:1003282
DOI10.1016/j.nonrwa.2007.09.004zbMath1154.34314OpenAlexW2050945442MaRDI QIDQ1003282
Publication date: 27 February 2009
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.09.004
Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)
Related Items
Symmetric positive solutions for fourth-order \(n\)-dimensional \(m\)-Laplace systems ⋮ A class of second-order nonlocal indefinite impulsive differential systems ⋮ On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions ⋮ An efficient numerical scheme for a nonlinear integro-differential equations with an integral boundary condition ⋮ The existence of symmetric positive solutions for a seconder-order difference equation with sum form boundary conditions ⋮ On higher-order nonlinear boundary value problems with nonlocal multipoint integral boundary conditions ⋮ On the existence of positive solutions for a non-autonomous fractional differential equation with integral boundary conditions ⋮ On nonlocal three-point boundary value problems of Duffing equation with mixed nonlinear forcing terms ⋮ Unnamed Item ⋮ Triple positive solutions for \(n\)th-order impulsive differential equations with integral boundary conditions and \(p\)-Laplacian ⋮ Stability analysis of implicit fractional differential equation with anti-periodic integral boundary value problem ⋮ Numerical solutions of Duffing equations involving both integral and non-integral forcing terms ⋮ Unnamed Item ⋮ Denumerably many positive solutions for a \(n\)-dimensional higher-order singular fractional differential system ⋮ Some new nonlinear second-order boundary value problems on an arbitrary domain ⋮ A second-order boundary value problem with nonlinear and mixed boundary conditions: existence, uniqueness, and approximation ⋮ Existence of solutions for a coupled system of second and fourth order elliptic equations ⋮ Boundary value problems of fractional order differential equation with integral boundary conditions and not instantaneous impulses ⋮ Unnamed Item ⋮ On the solution of the integro-differential equation with an integral boundary condition ⋮ Method of quasilinearization for a nonlocal singular boundary value problem in weighted spaces ⋮ Existence of symmetric positive solutions for a boundary value problem with integral boundary conditions ⋮ A study of third-order single-valued and multi-valued problems with integral boundary conditions ⋮ Existence theory for \(n\)th order nonlocal integral boundary value problems and extension to fractional case ⋮ Approximation of solutions of the nonlinear Duffing equation involving both integral and non-integral forcing terms with separated boundary conditions ⋮ Existence and approximation of solutions of forced Duffing type integro-differential equations with three-point nonlinear boundary conditions ⋮ Unnamed Item ⋮ Existence and nonexistence results of impulsive first-order problem with integral boundary condition ⋮ Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions ⋮ POSITIVE SOLUTIONS OF NTH-ORDER BOUNDARY VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS ⋮ A pseudospectral method for nonlinear Duffing equation involving both integral and non‐integral forcing terms ⋮ Positive solutions to second-order singular nonlocal problems: existence and sharp conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized quasilinearization versus Newton method
- A quasilinearization method for a class of second order singular nonlinear differential equations with nonlinear boundary conditions
- A quasilinearization method for a class of integro-differential equations with mixed nonlinearities
- Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions
- Mixed problem with integral boundary condition for a high order mixed type partial differential equation
- Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow
- A Cauchy problem for the heat equation
- A Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass
- A parabolic equation with nonlocal boundary conditions arising from electrochemistry
- Weak Solution to an Evolution Problem with a Nonlocal Constraint
- Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions
- Quasilinearization and rate of convergence for higher-order nonlinear periodic boundary-value problems
- Multiscale modelling of the circulatory system: a preliminary analysis
- The Bellmann-Kalaba-Lakshmikantham quasilinearization method for Neumann problems
- Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
