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Nonlinear Initial Value Problems

Existence Result for Nonlinear Initial Value Problems Involving the Difference of Two Monotone Functions

Existence Result for Nonlinear Initial Value Problems Involving the Difference of Two Monotone Functions

... for nonlinear initial value problems involving the difference of two functions is ...of nonlinear initial value problems involving the difference of two functions ...

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On the Solutions of First and Second Order Nonlinear Initial Value Problems

On the Solutions of First and Second Order Nonlinear Initial Value Problems

... of nonlinear initial value prob- lems (IVPs) is a goal for mathematicians, engineers, and scientists, and it plays an important role in real world ap- ...solve nonlinear differential equations ...

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Accurate solutions of first order nonlinear initial value problems for ordinary differential equations withtherunge - kutta - fehlberg method

Accurate solutions of first order nonlinear initial value problems for ordinary differential equations withtherunge - kutta - fehlberg method

... In this paper, the Runge Kutta Fehlberg method has been presented for solving nonlinear first order initial value problems. Its stability analysis has been investigated and the method is ...

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Application of the Hybrid Differential Transform Method to the Nonlinear Equations

Application of the Hybrid Differential Transform Method to the Nonlinear Equations

... inhomogeneous nonlinear partial differential equations is presented; applying finite difference scheme on the fixed grid size is used to approximate the space discretisation, whereas the differential transform ...

5

Nonstandard explicit third-order Runge-Kutta method with positivity property

Nonstandard explicit third-order Runge-Kutta method with positivity property

... on nonlinear positivity for this ...the initial vector is ...special nonlinear initial value problems (IVPs) for ordinary differential equations ...

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Benjamin Ono Equation on a Half Line

Benjamin Ono Equation on a Half Line

... The initial-boundary value problem ...of nonlinear equations on a half-line we refer to the book 16, where it was developed systematically a general theory of the initial-boundary value ...

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On the Solvability of Nonlinear Boundary Value Problems on Time Scales

On the Solvability of Nonlinear Boundary Value Problems on Time Scales

... Her initial goal was to pursue a career in actuarial science, but after three actuarial internships and passing one actuarial exam, she decided she wanted to pursue an advanced degree in mathematics ...

73

New fixed point theorems on order intervals and their applications

New fixed point theorems on order intervals and their applications

... In this paper, we prove the existence of fixed points for nonlinear and semilinear operators on order intervals. The abstract results unified some methods in studying the existence of positive solutions for boundary ...

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Solutions of Second Order Nonlinear Singular Initial Value Problems by Modified Laplace Decomposition Method

Solutions of Second Order Nonlinear Singular Initial Value Problems by Modified Laplace Decomposition Method

... In this paper, we have successfully applied the modified Laplace Decomposition Method (MLDM) to obtain the exact solutions for nonlinear singular second order initial value problems. It is ...

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Nonstandard Discrete Models for Some Initial Value Problems Arising from Nonlinear Oscillator Equations

Nonstandard Discrete Models for Some Initial Value Problems Arising from Nonlinear Oscillator Equations

... The value of h=1/320 was used because some earlier work on this class of equation has used the same value of h (Awoyemi 1999). In those works values were obtained for only few collocated or interpolated ...

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On the solvability of initial value problems for nonlinear implicit difference equations

On the solvability of initial value problems for nonlinear implicit difference equations

... Our aim is twofold. First, we propose a natural definition of index for linear nonau- tonomous implicit difference equations, which is similar to that of linear differential- algebraic equations. Then we extend this index ...

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A Spectral Method in Time for Initial Value Problems

A Spectral Method in Time for Initial Value Problems

... of nonlinear equations and systems of nonlinear ...test problems, that global convergence is at least as good as for Newton-like line-search ...

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Solving Initial Value Problems by Flower Pollination Algorithm

Solving Initial Value Problems by Flower Pollination Algorithm

... optimization problems are often highly nonlinear; finding the optimal solutions is frequently very difficult ...for problems with nonlinearity and ...difficult problems [10], and it has been ...

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Optimizing Time Spectral Solution of Initial Value Problems

Optimizing Time Spectral Solution of Initial Value Problems

... the problems to be solved typically are causal, the method is acausal in the sense that the time dependence is calculated by a global mini- mization procedure (the weighted residual formalism) acting on the time ...

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Local Solution of Delay Fractional Differential Equations

Local Solution of Delay Fractional Differential Equations

... the nonlinear alternative of Leray-Schauder type, Benchohra et ...for initial value problems of ( 0    1 ) order fractional equations with in finite delay and Riemman-Liouville fractional ...

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APPLICATION OF NEW ITERATIVE METHOD FOR SOLVING LINEAR AND NONLINEAR INITIAL BOUNDARY VALUE PROBLEMS WITH NON LOCAL CONDITIONS

APPLICATION OF NEW ITERATIVE METHOD FOR SOLVING LINEAR AND NONLINEAR INITIAL BOUNDARY VALUE PROBLEMS WITH NON LOCAL CONDITIONS

... method for solving some initial boundary value problem with non local conditions. Proceedings of the World Congress on Engineering and Computer Science, 1, San Francisco, USA. He, J. H. (1999). Variational ...

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The Dhage Iteration Principle for Coupled PBVPs of Nonlinear Second Order Differential Equations

The Dhage Iteration Principle for Coupled PBVPs of Nonlinear Second Order Differential Equations

... various nonlinear initial and boundary value problems of ordinary coupled differential e- quations for proving the existence as well as algorithms for the coupled solutions under suitable ...

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Stability and boundedness in the numerical solution of initial value problems

Stability and boundedness in the numerical solution of initial value problems

... In the context of solving just problems of type (1.4), there are still important LMMs for which no γ > 0 exists such that (1.12), (1.9) imply monotonicity, cf. [34] (p.283), [19], [20]. Moreover, the conditions ...

20

Evolutionary Variational Inequalities with Volterra Type Operators

Evolutionary Variational Inequalities with Volterra Type Operators

... Initial-boundary value problems for nonlinear evolutionary equations with Volterra type operators, which can be inter- preted as a partial case of evolutionary variational inequalities, are ...

9

Nonlocal problems for Langevin-type differential equations with two fractional-order derivatives

Nonlocal problems for Langevin-type differential equations with two fractional-order derivatives

... Yu, T, Deng, K, Luo, M: Existence and uniqueness of solutions of initial value problems for nonlinear Langevin equation involving two fractional orders. Torres, C: Existence of solution [r] ...

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