Two-Point Ordinary Differential Equations
Several New Types of Fixed Point Theorems and Their Applications to Two Point Ordinary Differential Equations
... fixed point has important applications in fields such as differential equations, equilibrium pro- blems, variational inequality, optimization problems, maxmin problems ...fixed point theorems ...
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On the two-point problem for implicit second-order ordinary differential equations
... Our aim in this paper is to prove an existence result for problem (), in the general vector case, where we assume only that the function f (t, x, z, y), with respect to y, is continuous and locally nonconstant. ...
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Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations
... There is a great number of generalizations of the Banach contraction principle. In fact, existence theorems of fixed points have been established for mappings defined on vari- ous types of spaces and satisfying different ...
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Two and Three point Implicit Second Derivative Block Methods for Solving First Order Ordinary Differential Equations
... the back values of each block. Ibrahim et al. (2008) developed the block method by adding a fixed coefficients block backward differentiation formules to solve first order ODEs. Ibrahim et al. (2011) also considered the ...
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Existence Results of Three-Point Boundary Value Problems for Second-order Ordinary Differential Equations
... The theory of upper and lower solutions is also a powerful tool in studying boundary value problems. For the existence results of two-point boundary value problem, there already are lots of interesting ...
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Implicit Two point Block Method with Third and Fourth Derivatives for Solving General Second Order ODEs
... implicit two-point block method for solving directly the general second order ordinary differential equations ...the two-point block method is compared in term of accuracy ...
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Solution of two-point fuzzy boundary value problems by fuzzy neural networks
... the two-point fuzzy boundary value problems for the ordinary differential ...the two-point fuzzy boundary value problems is written based on the concepts of the fully fuzzy ...
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On the solution of two sided fractional ordinary differential equations of Caputo type
... analytical point of view) have been proposed by many authors, we refer, ...probabilistic point of view) of the clas- sical Caputo derivatives of order β ∈ (0, 1) when applied to regular enough ...boundary ...
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Vol 3, No 3 (2012)
... non-linear ordinary differential equations involving conditions at two ...Well two point boundary value problems are more difficulties in analytical solution that initial value ...
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Monotone and convex positive solutions for fourth-order multi-point boundary value problems
... When it comes to positive solutions for nonlinear fourth-order ordinary differential equations, two point boundary value problems are studied extensively, see [16-24]. Few papers deal ...
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DIRECT ONE-STEP METHOD FOR SOLVING THIRD-ORDER BOUNDARY VALUE PROBLEMS
... of differential equations, an initial value problem (IVP) is an ordinary differential equation (ODE) whose boundary conditions are specified at a single point, which can be found in ...
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Criteria for System of Three Second Order Ordinary Differential Equations to Be Reduced to a Linear System via Restricted Class of Point Transformation
... of two second-order ordinary differential equations which are related with the existence of an admitted four-dimensional Lie ...second-order ordinary differential equa- tions to ...
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Semi Non-Standard Trimean Algorithm for Rosenzweig-MacArthur Interaction Model
... least two ordinary differential equations used in population dynamics to model the interaction of predator and prey ...equilibrium point accurately and ...equilibrium point if ...
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A Galerkin Finite Element Method for Two-Point Boundary Value Problems of Ordinary Differential Equations
... using two methods namely, the Galerkin method expressed in terms of linear splines and the Finite Element Collocation method expressed by cubic spline basis ...order differential equation ...
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Well posedness of a class of two point boundary value problems associated with ordinary differential equations
... of two-point boundary value problems for a class of ordinary differential equations which can be derived from the maximum principle in optimal control ...such equations are initially a ...
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Applying new fixed point theorems on fractional and ordinary differential equations
... decades, two topics have been densely studied: “fixed point theory” and “frac- tional differential/integral ...ential/integral equations are very fresh topics for the researchers and, recently, several ...
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Two Point Boundary Value Problems for a Class of Second Order Ordinary Differential Equations
... We study the general semilinear second-order ODE u gt, u, u 0 under different two- point boundary conditions. Using the method of upper and lower solutions, we obtain an existence result. Moreover, under a ...
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Robust Stability of Implicit Dynamic Equations on Time Scales
... dynamic equations on time scales, which is a general form of differential algebraic equations and implicit difference ...these equations under small Lipschitz ...dynamic equations, ...
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Numerical Solution of Differential Equations
... solving differential equations based on numerical approximations were developed before programmable computers ...existed. Differential equations are an important part of many areas of ...
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Stochastic differential equations in a scale of Hilbert spaces
... Our main example is motivated by the study of stochastic dynamics of interacting particle systems. Let γ ⊂ X = R n be a locally finite set (configuration) rep- resenting a collection of point particles. Each ...
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