[PDF] Top 20 On the Solutions of First and Second Order Nonlinear Initial Value Problems
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On the Solutions of First and Second Order Nonlinear Initial Value Problems
... exact solutions 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- ...and second ... See full document
5
Accurate solutions of first order nonlinear initial value problems for ordinary differential equations withtherunge - kutta - fehlberg method
... Many problems of mathematical physics can be started in the form of differential ...mathematical problems that are formulated in science and engineering where it is difficult or even impossible to obtain ... See full document
7
Rapid convergence of approximate solutions for first order nonlinear boundary value problems
... Under some additional conditions on we prove that it is possible to construct two sequences of approximate solutions converging to a solution with rate of convergence of order k... KEY W[r] ... See full document
7
Dhage iteration method for PBVPs of nonlinear first order hybrid integro-differential equations
... of solutions of the nonlinear HIDE ...of nonlinear differential and integral ...such nonlinear problem is to assume only one of lower and upper ...of solutions of the HDE ...upper ... See full document
18
Dhage Iteration Method for Nonlinear First Order Hybrid Differential Equations with a Linear Perturbation of Second Type
... the solutions such as existence theorem, differential inequalities, maximal and minimal solutions, comparison principle under some mixed Lipschitz and compactness type ... See full document
13
Multiple Positive Solutions of a Singular Emden-Fowler Type Problem for Second-Order Impulsive Differential Systems
... lower solutions method for a singular system with no impulse effect and an impulsive system and then introduce several well-known fixed point index ...We first give definition s of somewhat general type of ... See full document
22
Monotone Method for Nonlinear First-order Hyperbolic Initial-boundary Value Problems of Moving Boundary
... boundary problems arise in many important applications to biology and ...for nonlinear first-order hyperbolic initial-boundary value ...lower solutions technique, for ... See full document
10
Numerical Solution of First Order Nonlinear Fuzzy Initial Value Problems by Six Stage Fifth Order Runge Kutta Method
... solving first fuzzy order differential ...fifth order Runge Kutta method for solving first order nonlinear ...numerical solutions generated by ... See full document
5
Existence of Positive Solutions for Nonlinear Eigenvalue Problems
... Santanilla, “Nonnegative solutions to boundary value problems for nonlinear first and second order ordinary di ff erential equations,” Journal of Mathematical Analysis and Applications, v[r] ... See full document
12
The Dhage Iteration Principle for Coupled PBVPs of Nonlinear Second Order Differential Equations
... coupled solutions of the CBVPs ...of nonlinear differential and integral ...coupled solutions for the coupled initial value problems (in short CIVPs) of the nonlinear ... See full document
10
Approximate solutions of general second–order initial value problems using differential evolution
... approximate solutions of secondorder initial value ...Approximate solutions of firstorder initial value problem was computed via the combination of collocation method (finite ... See full document
7
On singular nonlinear distributional and impulsive initial and boundary value problems
... similar problems are studied in ordered Banach spaces, ...verting problems into systems of integral equations, integrals in these systems being Bochner-Lebesgue or Henstock-Kurzweil ...considered ... See full document
19
On the exact and the approximate solutions of second-order fuzzy initial value problems with constant coefficients
... world problems in which ...The first approach was Hukuhara ...of solutions of two-point fuzzy boundary value prob- lems for second-order fuzzy differential equations under ... See full document
8
Positive solutions of Sturm-Liouville boundary value problems for singular nonlinear second-order impulsive integro-differential equation in Banach spaces
... The rest of the paper is organized as follows: In Section , we present some known results and introduce conditions to be used in the next section. The main theorem formulated and proved in Section . Finally, in Section ... See full document
18
Multiple monotone positive solutions for higher order differential equations with integral boundary conditions
... Boundary value problems with integral boundary conditions for ordinary differential equations represent a very interesting and important class of problems and arise in the study of various physical, ... See full document
12
Solutions of Second Order Nonlinear Singular Initial Value Problems by Modified Laplace Decomposition Method
... approximate solutions of the Lane-Emden equation is given by Adomian decomposition, homotopy perturbation, Variational iteration, Differential transform [4]-[12] and so ...find solutions of differential ... See full document
7
Numerical solutions of second order initial value problems of Bratu type via optimal homotopy asymptotic method
... Throughout this paper, an technique for obtaining a numerical solution for second order initial value problems of Bratu-type, is optimal homotopy asymptotic method (OHAM). The main ... See full document
8
Existence of solutions for functional boundary value problems of second order nonlinear differential equations system at resonance
... which generalizes recent work on multi-point and integral boundary value problems. Al- though it excellently generalizes and extends many results for nonlocal second-order prob- lems at ... See full document
22
Nonlinear conservation laws for the Schrödinger boundary value problems of second order
... state solutions of sublin- ear Schrödinger equations with lack of compactness were studied in ...state solutions for nonlinear fractional Schrödinger equation was obtained in [11] by applying the ... See full document
14
On second order nonlinear boundary value problems and the distributional Henstock-Kurzweil integral
... In recent years, the existence of solutions of boundary value problems have been studied by many authors [–]. Chew and Flordeliza, in [], generalized the classical Carathéodory’s existence theorem ... See full document
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