Uniqueness of solution.
Nonlinear Fuzzy Volterra Integro-differential Equation of N-th Order: Analytic Solution and Existence and Uniqueness of Solution
... the solution of fuzzy integro-differential equations of higher or- ...and uniqueness of solution of fuzzy higher order integro-differential equation and presents an ...
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The Existence and Uniqueness of Solution of Duffing Equations with Non- Perturbation Functional at Nonresonance
... perturbation functions and other conditions at nonresonance by employing minimax theorems. In 1986, Tersian investigated the equation u ft, ut −pt using a minimax theorem proved by himself and reaped a result of ...
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Boundary Asymptotic and Uniqueness of Solution for a Problem with Laplacian
... Research Article Boundary Asymptotic and Uniqueness of Solution for a Problem with px-Laplacian Ionel Rovenţa Department of Mathematics, University of Craiova, 200585 Craiova, Romania C[r] ...
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Existence and Uniqueness of Solution for Linear Mixed Volterra-Fredholm Integral Equations in Banach Space
... and uniqueness of solution of equation (1), also to present an approximate solution using fixed point iteration method, and then the Aitken method is used to accelerate the convergence of the ...
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Existence and uniqueness of solution for a class of nonlinear fractional differential equations
... and uniqueness results for nonlinear fractional differential equations with a kind of general irregular boundary condition in Banach space by using a fixed-point theorem and contraction mapping ...
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Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation
... 2013 Elliptic Partial Differential Equations Existence and Regularity of Distributional Solutions.. Linear and Semilinear Elliptic Equations.[r] ...
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New method for the existence and uniqueness of solution of nonlinear parabolic equation
... unique solution of certain nonlinear parabolic equation is obtained by using the properties of H-monotone operators, consequently, the proof is simplified compared to the corresponding discussions in the ...
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The uniqueness of solution for a fractional order nonlinear eigenvalue problem with p Laplacian operator
... extremal solution for a nonlinear system involving the right- handed Riemann-Liouville fractional derivative with nonlocal coupled integral boundary conditions was ...the uniqueness and existence of ...
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Existence and uniqueness of solution for class of fractional order differential equations on an unbounded domain
... D b are the standard Riemann-Liouville fractional derivatives. Here f : ℝ ≥ 0 × ℝ ® ℝ is a given nonlinear continuous function and ℝ ≥ 0 has its usual meaning of nonnegative semi-axis. We prove the solution for ...
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Ulam stability of Caputo q fractional delay difference equation: q fractional Gronwall inequality approach
... In this article, we discuss the existence and uniqueness of solution of a delay Caputo q-fractional difference system. Based on the q-fractional Gronwall inequality, we analyze the Ulam–Hyers stability and ...
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A necessary and sufficient condition for uniqueness of the trivial solution in semilinear parabolic equations
... that uniqueness of the trivial solution of the PDE (P) is equivalent to uniqueness of the trivial so- lution of the ODE ...Thus uniqueness of the trivial solution of (P) is equivalent ...
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Existence and uniqueness of positive periodic solution for ϕ-Laplacian Liénard equation
... Wang, Y, Dai, XZ, Xia, XX: On the existence of a unique periodic solution to a Liénard type p -Laplacian non-autonomous equation. Ding, HS, Ye, GR, Long, W: Existence and uniqueness of p[r] ...
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Schrödinger-type identity to the existence and uniqueness of a solution to the stationary Schrödinger equation
... and uniqueness of a solution to the stationary Schrödinger equation in the sense of the Weyl law, which advances the recent results obtained in several articles even in a more general ...
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Solution Of Integro-Differential Equation Of The Second Order With The Operators
... Theorem 5. (Banach fixed point theorem). Let the vector functions 𝑓(𝑡, 𝑥, 𝑥,̇ 𝑦, 𝑦,̇ 𝑧) and 𝑔(𝑡, 𝑥, 𝑥,̇ 𝑤, 𝑤̇) of the problem (P) are defined and continuous on the domain (1) and satisfies assumptions and all conditions ...
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Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs
... where λ and μ are nonnegative parameters. They derived some conditions for the above BVP to have a unique solution and then studied the dependence of this solution on the parameters λ and μ. Sun 11 ...
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Vol 3, No 2 (2012)
... classic solution of one-dimensional boundary value problem for a pseudohyperbolic equation with non-classic boundary conditions is ...and uniqueness of the integral equation is proved by means of the ...
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Cauchy Problem of the Singularly Perturbed Sixth Order Boussinesq Type Equation
... v ≤ C T t , ∈ , . T (2.21) Theorem 2.1. Under the assumptions of Lemma 2.4, if k ≥ 3 , then the prob- lem (2.1) - (2.3) has a unique generalized global solution v x t ( ) , , which has con- tinuous derivatives v x ...
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Existence, Uniqueness And Stability Solution Of Non-Linear System Of Integro-Differential Equation Of Volterra Type
... Butris [1] used both methods (Picard approximation method) and (Banach fixed point theorem) which were introduced by Rama [9]and[10] for studying some theorems in existence and uniqueness of system of non-linear ...
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On Massera’s theorem concerning the uniqueness of a periodic solution for the Liénard equation. When does such a periodic solution actually exist?
... the uniqueness is given by monotonicity properties in virtue of the Massera ...the uniqueness is no more granted, but the existence result still holds, and one can relax the ...
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Uniqueness and stability of solutions for a type of parabolic boundary value problem
... The boundary value problem I.I 1.4 has a unique continuous ]R that depends continuously on initial values, and this solution is solution u: D nonnegt ive.... UNIQUENESS AND STABILITY OF [r] ...
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